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Finding the Third Proportional to 457,565.25 and 695,677.13

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Solution

The third proportional to 457,565.25 and 695,677.13 is: 1,057,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,565.25 : 695,677.13 = 695,677.13 : x
  2. Step 2: Convert to fraction form
    457,565.25/695,677.13 = 695,677.13/x
  3. Step 3: Cross multiply
    457,565.25x = 695,677.13 × 695,677.13
  4. Step 4: Simplify right side
    457,565.25x = 483,966,662,248.27
  5. Step 5: Solve for x
    x = 483,966,662,248.27/457,565.25
  6. Step 6: Final answer
    x = 1,057,699.78

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Why These Related Problems?

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