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Finding the Third Proportional to 516,496.50 and 801,687.38

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Solution

The third proportional to 516,496.50 and 801,687.38 is: 1,244,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,496.50 : 801,687.38 = 801,687.38 : x
  2. Step 2: Convert to fraction form
    516,496.50/801,687.38 = 801,687.38/x
  3. Step 3: Cross multiply
    516,496.50x = 801,687.38 × 801,687.38
  4. Step 4: Simplify right side
    516,496.50x = 642,702,647,234.39
  5. Step 5: Solve for x
    x = 642,702,647,234.39/516,496.50
  6. Step 6: Final answer
    x = 1,244,350.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.