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Finding the Third Proportional to 206,586 and 443,304

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Solution

The third proportional to 206,586 and 443,304 is: 951,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586 : 443,304 = 443,304 : x
  2. Step 2: Convert to fraction form
    206,586/443,304 = 443,304/x
  3. Step 3: Cross multiply
    206,586x = 443,304 × 443,304
  4. Step 4: Simplify right side
    206,586x = 196,518,436,416
  5. Step 5: Solve for x
    x = 196,518,436,416/206,586
  6. Step 6: Final answer
    x = 951,266.96

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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.