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Finding the Third Proportional to 412,337.53 and 580,651.31

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Solution

The third proportional to 412,337.53 and 580,651.31 is: 817,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,337.53 : 580,651.31 = 580,651.31 : x
  2. Step 2: Convert to fraction form
    412,337.53/580,651.31 = 580,651.31/x
  3. Step 3: Cross multiply
    412,337.53x = 580,651.31 × 580,651.31
  4. Step 4: Simplify right side
    412,337.53x = 337,155,946,707.97
  5. Step 5: Solve for x
    x = 337,155,946,707.97/412,337.53
  6. Step 6: Final answer
    x = 817,669.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.