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Finding the Third Proportional to 232,931 and 501,496

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Solution

The third proportional to 232,931 and 501,496 is: 1,079,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,931 : 501,496 = 501,496 : x
  2. Step 2: Convert to fraction form
    232,931/501,496 = 501,496/x
  3. Step 3: Cross multiply
    232,931x = 501,496 × 501,496
  4. Step 4: Simplify right side
    232,931x = 251,498,238,016
  5. Step 5: Solve for x
    x = 251,498,238,016/232,931
  6. Step 6: Final answer
    x = 1,079,711.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.