<p>Well schools with the highest SAT ranges are generally the ones with the highest LSAT and MCAT scoring graduates, and the high LSAT/MCAT scoring graduates in turn end up at better law and medical schools. So, unless you believe that top colleges prepare students significantly better for these tests (possible, although rather unlikely), then it is likely that students with higher SAT scores will also score higher on later standardized tests for any number of reasons (motivation, intelligence, preparation, test taking skill, etc.).</p>