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Finding the Third Proportional to 231,498 and 469,431

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Solution

The third proportional to 231,498 and 469,431 is: 951,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,498 : 469,431 = 469,431 : x
  2. Step 2: Convert to fraction form
    231,498/469,431 = 469,431/x
  3. Step 3: Cross multiply
    231,498x = 469,431 × 469,431
  4. Step 4: Simplify right side
    231,498x = 220,365,463,761
  5. Step 5: Solve for x
    x = 220,365,463,761/231,498
  6. Step 6: Final answer
    x = 951,910.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.