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Finding the Third Proportional to 366,933 and 548,691

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Solution

The third proportional to 366,933 and 548,691 is: 820,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933 : 548,691 = 548,691 : x
  2. Step 2: Convert to fraction form
    366,933/548,691 = 548,691/x
  3. Step 3: Cross multiply
    366,933x = 548,691 × 548,691
  4. Step 4: Simplify right side
    366,933x = 301,061,813,481
  5. Step 5: Solve for x
    x = 301,061,813,481/366,933
  6. Step 6: Final answer
    x = 820,481.71

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