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Finding the Third Proportional to 231,781.50 and 481,326.75

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Solution

The third proportional to 231,781.50 and 481,326.75 is: 999,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,781.50 : 481,326.75 = 481,326.75 : x
  2. Step 2: Convert to fraction form
    231,781.50/481,326.75 = 481,326.75/x
  3. Step 3: Cross multiply
    231,781.50x = 481,326.75 × 481,326.75
  4. Step 4: Simplify right side
    231,781.50x = 231,675,440,265.56
  5. Step 5: Solve for x
    x = 231,675,440,265.56/231,781.50
  6. Step 6: Final answer
    x = 999,542.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.