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Finding the Third Proportional to 230,304 and 542,874

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Solution

The third proportional to 230,304 and 542,874 is: 1,279,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,304 : 542,874 = 542,874 : x
  2. Step 2: Convert to fraction form
    230,304/542,874 = 542,874/x
  3. Step 3: Cross multiply
    230,304x = 542,874 × 542,874
  4. Step 4: Simplify right side
    230,304x = 294,712,179,876
  5. Step 5: Solve for x
    x = 294,712,179,876/230,304
  6. Step 6: Final answer
    x = 1,279,665.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.