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Finding the Third Proportional to 206,793 and 446,598

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Solution

The third proportional to 206,793 and 446,598 is: 964,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793 : 446,598 = 446,598 : x
  2. Step 2: Convert to fraction form
    206,793/446,598 = 446,598/x
  3. Step 3: Cross multiply
    206,793x = 446,598 × 446,598
  4. Step 4: Simplify right side
    206,793x = 199,449,773,604
  5. Step 5: Solve for x
    x = 199,449,773,604/206,793
  6. Step 6: Final answer
    x = 964,489.97

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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.