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Finding the Third Proportional to 206,976 and 446,600

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Solution

The third proportional to 206,976 and 446,600 is: 963,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976 : 446,600 = 446,600 : x
  2. Step 2: Convert to fraction form
    206,976/446,600 = 446,600/x
  3. Step 3: Cross multiply
    206,976x = 446,600 × 446,600
  4. Step 4: Simplify right side
    206,976x = 199,451,560,000
  5. Step 5: Solve for x
    x = 199,451,560,000/206,976
  6. Step 6: Final answer
    x = 963,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.