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Finding the Third Proportional to 386,727 and 597,591

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Solution

The third proportional to 386,727 and 597,591 is: 923,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727 : 597,591 = 597,591 : x
  2. Step 2: Convert to fraction form
    386,727/597,591 = 597,591/x
  3. Step 3: Cross multiply
    386,727x = 597,591 × 597,591
  4. Step 4: Simplify right side
    386,727x = 357,115,003,281
  5. Step 5: Solve for x
    x = 357,115,003,281/386,727
  6. Step 6: Final answer
    x = 923,429.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.