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Finding the Third Proportional to 664,489.13 and 996,517.13

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Solution

The third proportional to 664,489.13 and 996,517.13 is: 1,494,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,489.13 : 996,517.13 = 996,517.13 : x
  2. Step 2: Convert to fraction form
    664,489.13/996,517.13 = 996,517.13/x
  3. Step 3: Cross multiply
    664,489.13x = 996,517.13 × 996,517.13
  4. Step 4: Simplify right side
    664,489.13x = 993,046,380,418.27
  5. Step 5: Solve for x
    x = 993,046,380,418.27/664,489.13
  6. Step 6: Final answer
    x = 1,494,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.