MARCUS, Circuit Judge:
Defendants the Dallas County Commission, various county officials,1 and the [1299]*1299United States appeal the district court’s order vacating its 1988 injunction which established a new election scheme2 for the County Commission of Dallas County, Alabama as a remedy for a violation of section 2 of the Voting Rights Act. The district court found that the 1988 injunction changed the size of the County Commission and was therefore an impermissible remedy for a voting rights violation in light of recent Supreme Court and Eleventh Circuit precedent. Because the district court did not clearly err in finding that the 1988 injunction changed the size of the County Commission, and because the law prohibiting changes in the size of a governing body in order to remedy a section 2 violation is plain, we conclude that the district court did not abuse its discretion in vacating the 1988 injunction and affirm its order.
I.
The facts underlying this case are reasonably straightforward although the case has had a protracted procedural history. Prior to 1978, the Dallas County Commission was composed of four commissioners elected from at-large residency districts to concurrent four year terms. Dallas County commissioners served, and continue to serve, in a part-time capacity. The Dallas County probate judge acted as the chairperson of the Commission in an ex officio capacity.3 The probate judge held a full-time position and was elected at-large to six year terms. In his capacity as the ex officio chairperson of the Commission, the probate judge presided over Commission meetings but, notably, voted only in the event of a tie among the four commissioners.4 See United States v. Dallas County Comm’n, 850 F.2d 1430, 1432 (11th Cir.1988). In his capacity as probate judge, the probate judge also had authority to vote with the Commission in filling certain local office vacancies. See Act No. 196, 1949 Ala. Acts 227; Act No. 197, 1949 Ala. Acts 228; Jones v. Dallas County, 983 F.2d 237 (11th Cir.1993) (holding that the 1988 injunction did not preclude the probate judge from continuing to vote to fill the position of Dallas County tax collector in accordance with Act No. 197).
[1300]*1300In 1978, the .United States challenged the at-large method of electing members to the Dallas County Commission under section 2 of the Voting Rights Act of 1965, as amended, 42 U.S.C. § 1973, on the grounds that the at-large elections diluted the strength of black voters. See United States v. Dallas County Comm’n, 548 F.Supp. 875, 877 (S.D.Ala.1982), aff'd in part, rev’d in part, vacated and remanded, 739 F.2d 1529 (11th Cir.1984). In 1982, the district court held that the at-large method . of electing county commissioners did not violate section 2 because the United States had not proved that the statute under which the at-large method of election was established was motivated by discriminatory intent or that it diluted black voting strength in Dallas County. See Dallas County Comm’n., 548 F.Supp. at 919. We affirmed in part, reversed in part, and remanded the case to the district court with specific instructions to consider the role of racially polarized voting and the lingering effects of discrimination in Dallas County. See United States v. Dallas County Comm’n, 739 F.2d 1529 (11th Cir.1984). On remand, the district court found that the at-large election scheme for the Dallas County Commission diluted minority voting strength in violation of section 2. See United States v. Dallas County Comm’n, 636 F.Supp. 704, 710 (S.D.Ala.1986).
To remedy the section 2 violation, the district court ordered the county to adopt an election scheme that created four single-member districts. The district court retained the probate judge, still elected at-large, as the ex officio chairperson of the Commission. See United States v. Dallas County Comm’n, 661 F.Supp. 955, 958-59 (S.D.Ala.1987). We again reversed holding that the continued inclusion of the at-large elected probate judge as the ex officio chairperson of the Commission did not fully cure the Commission’s section 2 violation. See United States v. Dallas County Comm’n, 850 F.2d 1430, 1432 (11th Cir.1988), cert. denied, 490 U.S. 1030, 109 S.Ct. 1768, 104 L.Ed.2d 203 (1989). We ordered Dallas County to adopt a five single-member districting plan for the County Commission with the chairperson of the Commission to be chosen from among the five commissioners. Id. See also United States v. Dallas County Comm’n, 850 F.2d 1433 (11th Cir.1988) (describing the Lichtman plan).
The plan established two districts containing black voter majorities of 72.4 percent and 70 percent, two districts containing white voter majorities of 65 percent and 64 percent, and' a fifth swing district containing a black voter majority of 61.3 percent. See Dallas County Comm’n, 850 F.2d at 1440. The plan required that the Commission be composed of five full members5 serving the same term of four years and with the same full voting rights. The probate judge no longer served as the ex officio chairperson of the Commission; he no longer presided over meetings and did not vote in the event of a tie.6 However, the probate judge retained authority to vote with the other commissioners when filling certain vacancies in local office just as he had prior to the 1988 injunction. See Jones, 983 F.2d 237 (11th Cir.1993). In short, the injunction replaced the role of the probate judge as ex officio chairperson of the Commission with a full commissioner elected specifically to that position. The role of the probate judge as probate judge, however, remained intact. On July 13, 1988, the district court directed that the election of the Dallas County Commission be conducted pursuant to the Eleventh Circuit’s plan.7
[1301]*1301On October 25, 1996, Plaintiffs Dean Butch Wilson and. Johnny Middlebrooks, white residents of Dallas County, Alabama, filed suit against the Dallas County Commission, various county officials, and the United States alleging that the court-ordered election scheme changed the size of the County Commission and was, therefore, an improper remedy for a section 2 violation. Specifically, Plaintiffs argued that the removal of the probate judge as ex officio chairperson of the County Commission and the creation of a fifth full commissioner, with the same voting rights and serving the same term of years as the other commissioners, changed the size of the Commission from four members (plus the probate judge acting as chairperson in an ex officio capacity) to five full members. Plaintiffs sought declaratory and injunctive relief from the court-ordered plan. Plaintiffs also alleged that the districting plan then in place violated section 5 of the Voting Rights Act because it had not been precleared, and that the 1988 injunction violated the Tenth Amendment. On October 17, 1997, Plaintiffs amended their Complaint to add claims alleging that the 1988 injunction violated the Voting Rights Act and the Fourteenth Amendment.
The district court conducted a four day bench trial in May 1998. On March 29, 1999, the district court entered judgment for the Plaintiffs.
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MARCUS, Circuit Judge:
Defendants the Dallas County Commission, various county officials,1 and the [1299]*1299United States appeal the district court’s order vacating its 1988 injunction which established a new election scheme2 for the County Commission of Dallas County, Alabama as a remedy for a violation of section 2 of the Voting Rights Act. The district court found that the 1988 injunction changed the size of the County Commission and was therefore an impermissible remedy for a voting rights violation in light of recent Supreme Court and Eleventh Circuit precedent. Because the district court did not clearly err in finding that the 1988 injunction changed the size of the County Commission, and because the law prohibiting changes in the size of a governing body in order to remedy a section 2 violation is plain, we conclude that the district court did not abuse its discretion in vacating the 1988 injunction and affirm its order.
I.
The facts underlying this case are reasonably straightforward although the case has had a protracted procedural history. Prior to 1978, the Dallas County Commission was composed of four commissioners elected from at-large residency districts to concurrent four year terms. Dallas County commissioners served, and continue to serve, in a part-time capacity. The Dallas County probate judge acted as the chairperson of the Commission in an ex officio capacity.3 The probate judge held a full-time position and was elected at-large to six year terms. In his capacity as the ex officio chairperson of the Commission, the probate judge presided over Commission meetings but, notably, voted only in the event of a tie among the four commissioners.4 See United States v. Dallas County Comm’n, 850 F.2d 1430, 1432 (11th Cir.1988). In his capacity as probate judge, the probate judge also had authority to vote with the Commission in filling certain local office vacancies. See Act No. 196, 1949 Ala. Acts 227; Act No. 197, 1949 Ala. Acts 228; Jones v. Dallas County, 983 F.2d 237 (11th Cir.1993) (holding that the 1988 injunction did not preclude the probate judge from continuing to vote to fill the position of Dallas County tax collector in accordance with Act No. 197).
[1300]*1300In 1978, the .United States challenged the at-large method of electing members to the Dallas County Commission under section 2 of the Voting Rights Act of 1965, as amended, 42 U.S.C. § 1973, on the grounds that the at-large elections diluted the strength of black voters. See United States v. Dallas County Comm’n, 548 F.Supp. 875, 877 (S.D.Ala.1982), aff'd in part, rev’d in part, vacated and remanded, 739 F.2d 1529 (11th Cir.1984). In 1982, the district court held that the at-large method . of electing county commissioners did not violate section 2 because the United States had not proved that the statute under which the at-large method of election was established was motivated by discriminatory intent or that it diluted black voting strength in Dallas County. See Dallas County Comm’n., 548 F.Supp. at 919. We affirmed in part, reversed in part, and remanded the case to the district court with specific instructions to consider the role of racially polarized voting and the lingering effects of discrimination in Dallas County. See United States v. Dallas County Comm’n, 739 F.2d 1529 (11th Cir.1984). On remand, the district court found that the at-large election scheme for the Dallas County Commission diluted minority voting strength in violation of section 2. See United States v. Dallas County Comm’n, 636 F.Supp. 704, 710 (S.D.Ala.1986).
To remedy the section 2 violation, the district court ordered the county to adopt an election scheme that created four single-member districts. The district court retained the probate judge, still elected at-large, as the ex officio chairperson of the Commission. See United States v. Dallas County Comm’n, 661 F.Supp. 955, 958-59 (S.D.Ala.1987). We again reversed holding that the continued inclusion of the at-large elected probate judge as the ex officio chairperson of the Commission did not fully cure the Commission’s section 2 violation. See United States v. Dallas County Comm’n, 850 F.2d 1430, 1432 (11th Cir.1988), cert. denied, 490 U.S. 1030, 109 S.Ct. 1768, 104 L.Ed.2d 203 (1989). We ordered Dallas County to adopt a five single-member districting plan for the County Commission with the chairperson of the Commission to be chosen from among the five commissioners. Id. See also United States v. Dallas County Comm’n, 850 F.2d 1433 (11th Cir.1988) (describing the Lichtman plan).
The plan established two districts containing black voter majorities of 72.4 percent and 70 percent, two districts containing white voter majorities of 65 percent and 64 percent, and' a fifth swing district containing a black voter majority of 61.3 percent. See Dallas County Comm’n, 850 F.2d at 1440. The plan required that the Commission be composed of five full members5 serving the same term of four years and with the same full voting rights. The probate judge no longer served as the ex officio chairperson of the Commission; he no longer presided over meetings and did not vote in the event of a tie.6 However, the probate judge retained authority to vote with the other commissioners when filling certain vacancies in local office just as he had prior to the 1988 injunction. See Jones, 983 F.2d 237 (11th Cir.1993). In short, the injunction replaced the role of the probate judge as ex officio chairperson of the Commission with a full commissioner elected specifically to that position. The role of the probate judge as probate judge, however, remained intact. On July 13, 1988, the district court directed that the election of the Dallas County Commission be conducted pursuant to the Eleventh Circuit’s plan.7
[1301]*1301On October 25, 1996, Plaintiffs Dean Butch Wilson and. Johnny Middlebrooks, white residents of Dallas County, Alabama, filed suit against the Dallas County Commission, various county officials, and the United States alleging that the court-ordered election scheme changed the size of the County Commission and was, therefore, an improper remedy for a section 2 violation. Specifically, Plaintiffs argued that the removal of the probate judge as ex officio chairperson of the County Commission and the creation of a fifth full commissioner, with the same voting rights and serving the same term of years as the other commissioners, changed the size of the Commission from four members (plus the probate judge acting as chairperson in an ex officio capacity) to five full members. Plaintiffs sought declaratory and injunctive relief from the court-ordered plan. Plaintiffs also alleged that the districting plan then in place violated section 5 of the Voting Rights Act because it had not been precleared, and that the 1988 injunction violated the Tenth Amendment. On October 17, 1997, Plaintiffs amended their Complaint to add claims alleging that the 1988 injunction violated the Voting Rights Act and the Fourteenth Amendment.
The district court conducted a four day bench trial in May 1998. On March 29, 1999, the district court entered judgment for the Plaintiffs. The court held that the 1988 injunction “impermissibly altered the size” of the Dallas County Commission and was “both illegal and unjustified under the applicable law as well as the circumstances of this case.” Order at 3. The court terminated the 1988 injunction and ordered the development and implementation of a four single-member district plan. The district court also ordered the probate judge to resume his position as chairman ex officio with the sole duties of presiding over the Commission’s meetings and casting a vote in the event of a tie. Both the County Commission and the United States appealed the district court’s order.8
II.
We review the district court’s findings of fact for clear error, and we review its conclusions of law de novo. See DeKalb County School District v. Schrenko, 109 F.3d 680, 687 (11th Cir.), cert. denied, 522 U.S. 1015, 118 S.Ct. 601, 139 L.Ed.2d 489 (1997). The decision to modify an injunction is.subject to an abuse of discretion standard, and it is an abuse of discretion to fail to make modifications required by applicable law. See Ensley Branch, NAACP v. Seibels, 31 F.3d 1548, 1563 (11th Cir.1994); Godfrey v. BellSouth Telecomm., Inc., 89 F.3d 755, 757 (11th Cir.1996).
A.
As an initial matter, the Defendants argue that the district court improperly allowed the Plaintiffs to challenge the 1988 injunction through an independent action rather than requiring them to intervene in the action in which the judgment was entered. The Defendants argue that because the Plaintiffs are trying to amend a judgment issued in a previous case, they should be forced to seek relief from the same court that entered the original judgment. Indeed, as a general matter, intervention pursuant to Fed.R.Civ.P. 24 is the appropriate way for an outsider with an interest in an existing lawsuit to come in as a party. See 1C Wright, Miller & Kane, Federal.Practice and Procedure: Civil 2d § 1901, at 228 (1986). Intervention in the original action is also generally the proper mechanism for a nonparty to seek relief from an existing judgment. See 11 Wright, Miller & Kane, Federal Practice [1302]*1302and Procedure: Civil 2d § 2863, at 350 (1995); see also Hines v. Rapides Parish School Board, 479 F.2d 762, 765 (5th Cir.1973) (holding that “the proper course for parental groups seeking to question current deficiencies in the implementation of desegregation orders is for the group to petition the district court to allow it to intervene in the prior action”).9
The Plaintiffs respond that as private citizens who were not parties to the previous action they were not obliged to intervene in that action when a personal right such as voting was at stake. Plaintiffs rely for support on Martin v. Wilks, 490 U.S. 755, 762-67, 109 S.Ct. 2180, 2184-87, 104 L.Ed.2d 835 (1989). In Wilks, the Supreme Court rejected the argument that because the plaintiff white firefighters failed to timely intervene in the initial court proceedings, their current challenge to actions taken under the consent decree arising out of the initial action constituted an impermissible collateral attack. Id. at 762, 109 S.Ct. at 2185. Instead, the Court held that the white firefighters could challenge employment decisions made pursuant to the consent decree through an independent action. Id. at 762-69, 109 S.Ct. at 2185-88. In rejecting a rule of mandatory intervention, the Supreme Court explained that it made more sense to place the burden on the party bringing a lawsuit to join all interested parties rather than to place on all potential additional parties the duty to intervene. Id. at 765, 109 S.Ct. at 2186. Because the plaintiffs were not joined in the original action, their independent claims were not therefore precluded. Id. at 761, 109 S.Ct. at 2184.10
While Wilks offers some support for the Plaintiffs’ argument that the district court properly allowed them to bring an independent action challenging the 1988 injunction, we find even more compelling the fact, which both sides recognize, that in this case the Plaintiffs’ collateral attack was for all practical purposes the same as an intervention in the original action. Notably, this independent action arose in the same district court and was heard by the same district judge who handled the original case. Moreover, the parties to the independent action include all, of the parties to the original action, including the United States which was named in this case because of its status as a party to the prior proceeding, and the district court took judicial notice of those portions of the original proceedings on which the parties announced an intention to rely. For these reasons, this case does not implicate the potential problems and prejudice that can arise when plaintiffs are permitted to challenge relief entered by one court through a wholly independent action commenced in a different court and before a different [1303]*1303judge. In short, Plaintiffs’ independent action in this case raises no danger that different courts will levy competing and contradictory judgments upon the Defendants. As a result, we have little difficulty in concluding that in this case the district court did not err by allowing the Plaintiffs their challenge to the 1988 injunction through an' independent action.11
[1305]*1305B.
The law relevant to the Plaintiffs’ challenge to the 1988 injunction is by now clear and undisputed. A federal court cannot modify the size of an elected governing body in order to remedy a section 2 violation because there is no principled reason to choose a legislative body of one size over one of a different size for the purposes of determining whether there has been vote dilution. See generally Holder v. Hall, 512 U.S. 874, 114 S.Ct. 2581, 129 L.Ed.2d 687 (1994); White v. Alabama, 74 F.3d 1058 (11th Cir.1996); Nipper v. Smith, 39 F.3d 1494 (11th Cir.1994) (en banc), cert. denied, 514 U.S. 1083, 115 S.Ct. 1795, 131 L.Ed.2d 723 (1995). In Holder, black voters argued that the size of the county commission of Bleckley County, Georgia violated section 2 of the Voting Rights Act. Bleckley County always had a single-commissioner form of government, but in 1985 the state legislature authorized the county to adopt by referendum a multimember commission consisting of five members elected from single-member districts and a chair elected at-large. Voters, however, defeated the proposal thereby prompting a challenge by black voters. A majority of the Supreme Court held that the size of a governing body is not subject to a vote dilution challenge under section 2. The plurality opinion, written by Justice Kennedy and joined by Chief Justice Rehnquist and Justice O’Connor, explained that in order to find liability in a section 2 case, a court must find a reasonable alternative practice as a benchmark against which to measure whether the existing voting practice results in vote dilution. Holder, 512 U.S. at 880, 114 S.Ct. at 2585. The plurality then explained that “the search for a benchmark is quite problematic when a § 2 dilution challenge is brought to the size of a government body” because “[t] here is no principled reason why one size should be picked over another as the benchmark for comparison.” Id. at 881, 114 S.Ct. at 2586. The plurality therefore concluded that “a plaintiff cannot maintain a § 2 challenge to the size of a government body, such as the Bleckley County Commission.” Id. at 885, 114 S.Ct. at 2588. Justices Thomas and Scalia agreed with the holding that “the size of a governing .body cannot be attacked under § 2” but rested their concurrence on other grounds.12 See Id. at 891, 114 S.Ct. at 2591 (Thomas, J., concurring in judgment).
We have since held twice that Holder limits the remedial powers of the federal courts under section 2 and prohibits district courts from changing the size of a county governing body. In Nipper we rejected a section 2 vote dilution challenge brought by black registered voters and an association of black attorneys to the at-[1306]*1306large election system used to elect the judges of Florida’s Fourth Judicial Circuit Court. The plaintiffs contended that the use of at-large elections diluted black voting strength. They sought the creation of subdistricts that would ensure their ability to elect black judges of their choice. Nipper, 39 F.3d at 1496-97. In rejecting the plaintiffs’ claim for relief, we emphasized that “under Holder, federal courts may not mandate as a section 2 remedy that a state or political subdivision alter the size of its elected bodies.... Federal courts may not [ ] alter the state’s form of government itself when they cannot identify ‘a principled reason why one [alternative to the model being challenged] should be picked over another as a benchmark for comparison.’ ” Id. at 1532 (quoting Holder, 512 U.S. at 881, 114 S.Ct. at 2586).
Similarly, in White, we vacated the district court’s approval of a settlement agreement entered into between a class of black voters in Alabama and the State of Alabama which would have increased the size of the Alabama courts of appeals. White, 74 F.3d at 1061. In White, a class composed of all black voters in Alabama argued that the at-large election process used to elect members of Alabama’s appellate courts diluted the voting strength of black voters in violation of section 2 of the Voting Rights Act. Id. at 1059. The parties entered an agreement, which the United States Department of Justice pre-cleared, that would have restructured the Supreme Court of Alabama, the Court of Criminal Appeals, and the Court of Civil Appeals by increasing the size of those courts and creating a selection process that would ensure that the black voters of Alabama had at least two “representatives of their choice” on each court. Id. at 1061. The district court approved the agreement and made it part of the final judgment. Id. at 1061. Again, we held that in approving such relief the district court exceeded its authority under section 2 and vacated the district court’s judgment. Id. at 1061. We emphasized that under Holder and Nipper, the district court “lacked the authority to require Alabama to increase the size of its appellate courts.” Id. at 1072.
No one disputes that this is binding authority applicable in this case. The primary issue, then, is the factual one of whether the 1988 injunction imposed by the district court changed the size of the Dallas County Commission.13 More specif[1307]*1307ically, the question boils down to this: whether the pre-injunction probate judge acting in his role as ex officio chairperson of the Commission should be counted as a full member of the Commission for the purposes of determining the pre-injunction size of the Commission. If the probate judge acting as chairperson of the Commission in an ex officio capacity had essentially the same duties, power, and purpose as the full Commission member with whom he was replaced, then we must find that the size of the Commission did not change. If however, the probate judge acting as ex officio chair of the Commission played a significantly different role on the Commission than did the full Commission member with whom he was replaced then the size of the Commission did change. We conclude that because the differences between the role of the probate judge acting as chairperson of the Commission in an ex officio capacity and the role of a full Commission member are indeed substantial and important, the district court did not clearly err in finding that the 1988 injunction changed the size of the Dallas County Commission.
Defendants argue simply that the 1988 injunction did not change the size of the Commission because before the injunction the probate judge in his role as ex officio chairperson acted as a full Commission member. They contend that both before and after the 1988 injunction the Commission should be viewed as having five members, and only the manner of electing the officials changed. Defendants contend that the fact that the probate judge was an ex officio■ member of the Commission does not mean that he was not a full member. They stress that historically the probate judge played an active role in the Commission.14 Moreover, they argue that the differences in voting rights between the pre-1988 probate judge as ex officio chairperson and the current chairperson do not indicate that the probate judge/chairperson was not a full' Commission member. While they concede, as they must, that the pre-injunction probate judge/chairperson did not have full voting rights, they observe that he was the deciding vote in the event of a tie and therefore voted in every situation in which his vote would have made a difference. The Defendants add that the probate judge/chairperson’s tie-breaking voting power indicates that the probate judge played as significant a role in policy-making as did the other four commissioners and shows that Commission policy before the 1988 injunction was set by five, rather than four Commission members.
Defendants also point to Dillard v. Crenshaw County, Ala., 831 F.2d 246 (11th Cir.1987) in support of their contention that the pre-1988 probate judge acting in his capacity as the ex officio chairperson of the Commission should be considered a full Commission member. Dillard involved a section 2 challenge to the at-large election of the commissioners of the Calhoun County Commission in Calhoun County, Alabama. The Calhoun County Commission was originally composed of two associate commissioners and a chairperson, all elected at-large. The district court issued an injunction against the at-large election of the commissioners and ordered Calhoun County to respond with proposals as to how to solve the section 2 violation. Calhoun County responded with [1308]*1308a proposal to increase the membership of the commission to five but-to retain the position of an at-large commission chairperson, The district court rejected the at-large chair, position and ordered instead that the chair rotate among the five associate commissioners. On appeal, we considered whether the district court correctly-ruled that the at-large position proposed by Calhoun County failed to correct the original section 2 violation. Calhoun County tried to distinguish the new proposed chairperson elected at-large, from the old position in an effort to argue that the new chairperson really held an independent office and should not be subject to the proportional representation issues of section 2. Calhoun County emphasized that the proposed commission chairperson would have only a limited legislative role; he would preside' over commission meetings but would have no vote except in the case of a tie. Calhoun County argued that because the new chairperson would serve primarily an administrative, not a legislative role, the chairperson should not be considered a full member of the commission. Instead, the County argued, the proposed chairperson position should be treated as a separate single-member office.
We rejected the County’s argument and held that because of- the historical and practical overlap between the roles of the commission and the chairperson, the chairperson could not be considered a separate single-member office position. See Dillard, 831 F.2d at 251. We held that the chairperson was a full member of the commission subject to proportional representation issues and that the district court correctly ruled that electing the chairperson at-large failed to correct the original section 2 violation. Id. at 252-53.
Appellants contend that because the proposed chairperson in Dillard was considered a full commission member for the purposes of a section 2 remedy, the pre-injunction probate judge acting in his capacity as ex officio chairperson also should be considered a full member of the Commission since the two had similar roles and the same voting capacity. However, we do not find Dillard a helpful model for the present case. There are critical differences between the two cases which undermine Dillard’s usefulness in helping us determine whether the pre-injunction probate judge acting in his capacity as ex officio chairperson in the present case should be counted as a full commission member.
In Dillard, the. chairperson had historically been a full member of the commission. The commission was originally composed of-two associate commissioners and a chairpérson, all of whom were elected at-large from the whole county and all of whom had full and equal voting power. See id. at 247. The historical status of the chairperson as a full commission member with full and equal voting power was critical to our conclusion in Dillard that the proposed, chairperson should also be treated as a full commission member for section 2 purposes. See id. at 251 (explaining that “[b]oth historically and practically, the overlap between the roles of the commission and the chairperson do not allow us to consider this office as a separate, single-office position”). Notably, Dillard did not involve the question raised in the present case of whether a probate judge acting as a chairperson in an ex officio capacity, with substantially different voting powers, a different term of office, and different responsibilities from the other commissioners, should be considered a full commission member for the purposes of determining the size of the governmental body. The fact that we previously held that a proposed commission chairperson designed to replace a position historically filled by a full commission member must be treated as a full member for purposes of a section 2 challenge, does not shed light on whether in this case the pre-injunction probate judge acting in his capacity as the ex offi-cio chairperson of the Commission, who was not historically treated as a full Commission member, should be counted as a full member for the purposes of determining the size of the commission.
Plaintiffs emphasize what appear to us to be several critical differences here be[1309]*1309tween the pre-injunction probate judge acting in his capacity as the ex officio chairperson of the Commission and the full Commission member with whom he was replaced after the injunction. First, the probate judge was elected as a probate judge, not as a Commission member. The probate judge simply acted as chairperson of the Commission in an ex officio capacity but was never elected to a position on the Commission. Second, the probate judge was chosen in different elections and served a different term of years than did the commissioners. Therefore, while the commissioners served concurrent four year terms on the Commission, the probate judge, who was elected to six year terms, served as the ex officio chairperson of the Commission for a longer term of years. Third, in his capacity as ex officio chairperson of the Commission, the probate judge did not possess the same voting rights as did the other commissioners. Instead of voting on all matters, the probate judge acting as chairperson ex officio voted only in cases of a tie.15
We emphasize that the issue before us is the narrow and discrete factual question of whether the change from a Commission composed of four full commissioners plus a probate judge acting as chairperson in an ex officio capacity — who was elected to a different position, holds office for a different term of years, and has different voting powers on the Commission than the full members — to a Commission composed of five full Commission members (one of whom is designated as chairperson) — who were all elected specifically to that office, all hold office for the same term of years, and all possess the same voting powers— is significant enough for us to conclude that a change in the size of the Commission occurred. We recognize that real arguments exist on the other side and that the determination of whether the probate judge acting as ex officio chairperson looks like a full Commission member for purposes of comparing the sizes of the pre and post injunction Commissions is largely a judgment call. However, we find that the differences in role, purpose, and power between the probate judge acting as chairperson of the Commission in an ex officio capacity and a full Commission member are significant and compel us to conclude that the 1988 injunction effectively changed the size of the Dallas County Commission.
Perhaps even more important than our own finding, however, is the fact that the district court made a clear and unequivocal factual finding that the 1988 injunction changed the size of the Dallas County Commission and we must review this finding for clear error. See Thornburg v. Gingles, 478 U.S. 30, 78-79, 106 S.Ct. 2752, 2780-81, 92 L.Ed.2d 25 (1986) (affirming that ultimate finding of vote dilution is a question of fact subject to the clearly erroneous standard of review); United States v. DeVaron, 175 F.3d 930, 938 (11th Cir.1999) (en banc) (explaining that ultimate factual findings like the subsidiary facts on which they are based are entitled to clear error review); Tinkler v. United States, 982 F.2d 1456, 1466 (10th Cir.1992) (noting that ultimate findings “like ‘subsidiary’ fact-findings, are ... not to be set aside unless clearly erroneous”). According to the district court, the 1988 injunction “im-permissibly altered the size of [the Dallas County Commission] [] by expelling the chairman ex-officio simply because he was also the Probate Judge who must be elected at-large and by creating a previously unauthorized commissioner position.... ” Order at 3.16 Indeed, the district court’s [1310]*1310finding is consistent with our own prior understanding of the effect of the 1988 injunction. In this Court’s 1988 decision instructing the district court to impose the 1988 injunction, we explicitly recognized that the result of the injunction was an alteration of the size of the Commission. We stated: “The court is aware that its adoption of a five- single-member district plan results in the creation of an additional elected official.” Dallas County Comm’n, 850 F.2d at 1432 n. 2.
After thoroughly reviewing all of the evidence before us, we conclude that the 1988 injunction is most accurately understood as changing the size of the Dallas County Commission. The district court found as much and we hold that this finding was not clear error. In light of this factual finding and the clear precedent from both the Supreme Court and this Circuit establishing that a change in the size of a governing body is not a proper remedy for a section 2 violation, the district court’s conclusion that the 1988 injunction was an impermissible remedy for a section 2 violation was essential. Accordingly, we conclude that the district court did not abuse its discretion in vacating the 1988 injunction and affirm its March 29, 1999 Order.
AFFIRMED.