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    $\begingroup$ Regarding the 3rd variable, whether this is a problem at all (or rather a feature than a bug) depends on the clustering approach. Based on only variables 1 and 2 standard Euclidean distance-based clustering for example will assess provinces as very dissimilar if variable 1 and 2 differ a lot, and will ignore whether they are similar on the 3rd variable. Bringing in the third variable brings in new relevant information for the method in this sense, regardless of its dependence on variable 1 and 2, which otherwise wouldn't have an effect on the clustering. $\endgroup$ Commented 16 hours ago