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Finding the Third Proportional to 386,727 and 597,588

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Solution

The third proportional to 386,727 and 597,588 is: 923,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727 : 597,588 = 597,588 : x
  2. Step 2: Convert to fraction form
    386,727/597,588 = 597,588/x
  3. Step 3: Cross multiply
    386,727x = 597,588 × 597,588
  4. Step 4: Simplify right side
    386,727x = 357,111,417,744
  5. Step 5: Solve for x
    x = 357,111,417,744/386,727
  6. Step 6: Final answer
    x = 923,419.93

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Why These Related Problems?

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