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Finding the Third Proportional to 361,092 and 782,448

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Solution

The third proportional to 361,092 and 782,448 is: 1,695,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,092 : 782,448 = 782,448 : x
  2. Step 2: Convert to fraction form
    361,092/782,448 = 782,448/x
  3. Step 3: Cross multiply
    361,092x = 782,448 × 782,448
  4. Step 4: Simplify right side
    361,092x = 612,224,872,704
  5. Step 5: Solve for x
    x = 612,224,872,704/361,092
  6. Step 6: Final answer
    x = 1,695,481.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.