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Finding the Third Proportional to 206,571 and 437,952

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Solution

The third proportional to 206,571 and 437,952 is: 928,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571 : 437,952 = 437,952 : x
  2. Step 2: Convert to fraction form
    206,571/437,952 = 437,952/x
  3. Step 3: Cross multiply
    206,571x = 437,952 × 437,952
  4. Step 4: Simplify right side
    206,571x = 191,801,954,304
  5. Step 5: Solve for x
    x = 191,801,954,304/206,571
  6. Step 6: Final answer
    x = 928,503.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.