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Finding the Third Proportional to 461,458.13 and 698,562.56

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Solution

The third proportional to 461,458.13 and 698,562.56 is: 1,057,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,458.13 : 698,562.56 = 698,562.56 : x
  2. Step 2: Convert to fraction form
    461,458.13/698,562.56 = 698,562.56/x
  3. Step 3: Cross multiply
    461,458.13x = 698,562.56 × 698,562.56
  4. Step 4: Simplify right side
    461,458.13x = 487,989,653,726.57
  5. Step 5: Solve for x
    x = 487,989,653,726.57/461,458.13
  6. Step 6: Final answer
    x = 1,057,494.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.