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Finding the Third Proportional to 516,472.75 and 801,651.63

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Solution

The third proportional to 516,472.75 and 801,651.63 is: 1,244,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,472.75 : 801,651.63 = 801,651.63 : x
  2. Step 2: Convert to fraction form
    516,472.75/801,651.63 = 801,651.63/x
  3. Step 3: Cross multiply
    516,472.75x = 801,651.63 × 801,651.63
  4. Step 4: Simplify right side
    516,472.75x = 642,645,327,865.14
  5. Step 5: Solve for x
    x = 642,645,327,865.14/516,472.75
  6. Step 6: Final answer
    x = 1,244,296.68

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