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Finding the Third Proportional to 541,002.38 and 844,257.38

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Solution

The third proportional to 541,002.38 and 844,257.38 is: 1,317,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,002.38 : 844,257.38 = 844,257.38 : x
  2. Step 2: Convert to fraction form
    541,002.38/844,257.38 = 844,257.38/x
  3. Step 3: Cross multiply
    541,002.38x = 844,257.38 × 844,257.38
  4. Step 4: Simplify right side
    541,002.38x = 712,770,515,241.89
  5. Step 5: Solve for x
    x = 712,770,515,241.89/541,002.38
  6. Step 6: Final answer
    x = 1,317,499.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.