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Finding the Third Proportional to 206,571 and 443,274

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Solution

The third proportional to 206,571 and 443,274 is: 951,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571 : 443,274 = 443,274 : x
  2. Step 2: Convert to fraction form
    206,571/443,274 = 443,274/x
  3. Step 3: Cross multiply
    206,571x = 443,274 × 443,274
  4. Step 4: Simplify right side
    206,571x = 196,491,839,076
  5. Step 5: Solve for x
    x = 196,491,839,076/206,571
  6. Step 6: Final answer
    x = 951,207.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.