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Finding the Third Proportional to 457,591 and 695,715

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Solution

The third proportional to 457,591 and 695,715 is: 1,057,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,591 : 695,715 = 695,715 : x
  2. Step 2: Convert to fraction form
    457,591/695,715 = 695,715/x
  3. Step 3: Cross multiply
    457,591x = 695,715 × 695,715
  4. Step 4: Simplify right side
    457,591x = 484,019,361,225
  5. Step 5: Solve for x
    x = 484,019,361,225/457,591
  6. Step 6: Final answer
    x = 1,057,755.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.