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Finding the Third Proportional to 269,864 and 396,048

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Solution

The third proportional to 269,864 and 396,048 is: 581,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,864 : 396,048 = 396,048 : x
  2. Step 2: Convert to fraction form
    269,864/396,048 = 396,048/x
  3. Step 3: Cross multiply
    269,864x = 396,048 × 396,048
  4. Step 4: Simplify right side
    269,864x = 156,854,018,304
  5. Step 5: Solve for x
    x = 156,854,018,304/269,864
  6. Step 6: Final answer
    x = 581,233.58

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Why These Related Problems?

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