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Finding the Third Proportional to 269,241 and 416,847

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Solution

The third proportional to 269,241 and 416,847 is: 645,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,241 : 416,847 = 416,847 : x
  2. Step 2: Convert to fraction form
    269,241/416,847 = 416,847/x
  3. Step 3: Cross multiply
    269,241x = 416,847 × 416,847
  4. Step 4: Simplify right side
    269,241x = 173,761,421,409
  5. Step 5: Solve for x
    x = 173,761,421,409/269,241
  6. Step 6: Final answer
    x = 645,375.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.