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Finding the Third Proportional to 204,551 and 437,530

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Solution

The third proportional to 204,551 and 437,530 is: 935,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,551 : 437,530 = 437,530 : x
  2. Step 2: Convert to fraction form
    204,551/437,530 = 437,530/x
  3. Step 3: Cross multiply
    204,551x = 437,530 × 437,530
  4. Step 4: Simplify right side
    204,551x = 191,432,500,900
  5. Step 5: Solve for x
    x = 191,432,500,900/204,551
  6. Step 6: Final answer
    x = 935,866.85

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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.