Merging/Exporting Data Based on Location

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I am trying to identify demographic characteristics of areas within a 1-mile radius of schools.

I have one shapefile with block level census data and another with the school locations. The files do not have a shared field.

Is there a way to merge the data to create a shapefile that contains the census blocks (and accompanying data) and the schools? There would obviously be repetition among the schools, since multiple census blocks fall within each school's radius. There would also be some overlap/repetition of census blocks, since some schools are close enough to each other to make some radii overlap.

I am pretty sure there is a simple solution that I learned at some point, but my GIS skills are a bit rusty and I'm having difficulty. Thanks in advance.



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