Answer:
Let the number of books in Mathematics be x. It is given that Number of Mathematics books: Number of Science books = Number of Science books: Number of Hindi books \[\Rightarrow \] \[x:450=450:300\] \[\Rightarrow \] \[300\times x=450\times 450\] \[\Rightarrow \] \[x=\frac{450\times 450}{300}\] \[\Rightarrow \] \[x=675\] Hence, the number of Mathematics books in the library is 675.
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