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Finding the Third Proportional to 716.63 and 952.31

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Solution

The third proportional to 716.63 and 952.31 is: 1,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.63 : 952.31 = 952.31 : x
  2. Step 2: Convert to fraction form
    716.63/952.31 = 952.31/x
  3. Step 3: Cross multiply
    716.63x = 952.31 × 952.31
  4. Step 4: Simplify right side
    716.63x = 906,899.10
  5. Step 5: Solve for x
    x = 906,899.10/716.63
  6. Step 6: Final answer
    x = 1,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.