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Finding the Third Proportional to 367,497 and 498,744

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Solution

The third proportional to 367,497 and 498,744 is: 676,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,497 : 498,744 = 498,744 : x
  2. Step 2: Convert to fraction form
    367,497/498,744 = 498,744/x
  3. Step 3: Cross multiply
    367,497x = 498,744 × 498,744
  4. Step 4: Simplify right side
    367,497x = 248,745,577,536
  5. Step 5: Solve for x
    x = 248,745,577,536/367,497
  6. Step 6: Final answer
    x = 676,864.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.