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Finding the Third Proportional to 206,577 and 443,286

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Solution

The third proportional to 206,577 and 443,286 is: 951,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,577 : 443,286 = 443,286 : x
  2. Step 2: Convert to fraction form
    206,577/443,286 = 443,286/x
  3. Step 3: Cross multiply
    206,577x = 443,286 × 443,286
  4. Step 4: Simplify right side
    206,577x = 196,502,477,796
  5. Step 5: Solve for x
    x = 196,502,477,796/206,577
  6. Step 6: Final answer
    x = 951,231.15

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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.