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There are 24 perfect squares between 50 and 1000.
There are 31 perfect square numbers between 1 and 1000 (including 1).
There are a total of 5 positive three-digit perfect cubes that are even. To find this, we first determine the range of three-digit perfect cubes, which is from 46 to 96. Then, we identify the even perfect cubes within this range, which are 64, 216, 512, 729, and 1000.
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