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Finding the Third Proportional to 269,860 and 396,042

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Solution

The third proportional to 269,860 and 396,042 is: 581,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,860 : 396,042 = 396,042 : x
  2. Step 2: Convert to fraction form
    269,860/396,042 = 396,042/x
  3. Step 3: Cross multiply
    269,860x = 396,042 × 396,042
  4. Step 4: Simplify right side
    269,860x = 156,849,265,764
  5. Step 5: Solve for x
    x = 156,849,265,764/269,860
  6. Step 6: Final answer
    x = 581,224.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.