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Finding the Third Proportional to 454.92 and 1,000.97

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Solution

The third proportional to 454.92 and 1,000.97 is: 2,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 1,000.97 = 1,000.97 : x
  2. Step 2: Convert to fraction form
    454.92/1,000.97 = 1,000.97/x
  3. Step 3: Cross multiply
    454.92x = 1,000.97 × 1,000.97
  4. Step 4: Simplify right side
    454.92x = 1,001,938.44
  5. Step 5: Solve for x
    x = 1,001,938.44/454.92
  6. Step 6: Final answer
    x = 2,202.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.