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Finding the Third Proportional to 269,192 and 591,452

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Solution

The third proportional to 269,192 and 591,452 is: 1,299,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,192 : 591,452 = 591,452 : x
  2. Step 2: Convert to fraction form
    269,192/591,452 = 591,452/x
  3. Step 3: Cross multiply
    269,192x = 591,452 × 591,452
  4. Step 4: Simplify right side
    269,192x = 349,815,468,304
  5. Step 5: Solve for x
    x = 349,815,468,304/269,192
  6. Step 6: Final answer
    x = 1,299,501.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.