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Finding the Third Proportional to 204,543 and 437,515

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Solution

The third proportional to 204,543 and 437,515 is: 935,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,543 : 437,515 = 437,515 : x
  2. Step 2: Convert to fraction form
    204,543/437,515 = 437,515/x
  3. Step 3: Cross multiply
    204,543x = 437,515 × 437,515
  4. Step 4: Simplify right side
    204,543x = 191,419,375,225
  5. Step 5: Solve for x
    x = 191,419,375,225/204,543
  6. Step 6: Final answer
    x = 935,839.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.