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Finding the Third Proportional to 206,907 and 443,331

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Solution

The third proportional to 206,907 and 443,331 is: 949,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907 : 443,331 = 443,331 : x
  2. Step 2: Convert to fraction form
    206,907/443,331 = 443,331/x
  3. Step 3: Cross multiply
    206,907x = 443,331 × 443,331
  4. Step 4: Simplify right side
    206,907x = 196,542,375,561
  5. Step 5: Solve for x
    x = 196,542,375,561/206,907
  6. Step 6: Final answer
    x = 949,906.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.