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Finding the Third Proportional to 386,732 and 597,598

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Solution

The third proportional to 386,732 and 597,598 is: 923,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732 : 597,598 = 597,598 : x
  2. Step 2: Convert to fraction form
    386,732/597,598 = 597,598/x
  3. Step 3: Cross multiply
    386,732x = 597,598 × 597,598
  4. Step 4: Simplify right side
    386,732x = 357,123,369,604
  5. Step 5: Solve for x
    x = 357,123,369,604/386,732
  6. Step 6: Final answer
    x = 923,438.89

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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.