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Finding the Third Proportional to 269,241 and 422,397

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Solution

The third proportional to 269,241 and 422,397 is: 662,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,241 : 422,397 = 422,397 : x
  2. Step 2: Convert to fraction form
    269,241/422,397 = 422,397/x
  3. Step 3: Cross multiply
    269,241x = 422,397 × 422,397
  4. Step 4: Simplify right side
    269,241x = 178,419,225,609
  5. Step 5: Solve for x
    x = 178,419,225,609/269,241
  6. Step 6: Final answer
    x = 662,674.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.