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Finding the Third Proportional to 206,571 and 437,939

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Solution

The third proportional to 206,571 and 437,939 is: 928,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571 : 437,939 = 437,939 : x
  2. Step 2: Convert to fraction form
    206,571/437,939 = 437,939/x
  3. Step 3: Cross multiply
    206,571x = 437,939 × 437,939
  4. Step 4: Simplify right side
    206,571x = 191,790,567,721
  5. Step 5: Solve for x
    x = 191,790,567,721/206,571
  6. Step 6: Final answer
    x = 928,448.66

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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.