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Finding the Third Proportional to 457.25 and 997.75

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Solution

The third proportional to 457.25 and 997.75 is: 2,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 997.75 = 997.75 : x
  2. Step 2: Convert to fraction form
    457.25/997.75 = 997.75/x
  3. Step 3: Cross multiply
    457.25x = 997.75 × 997.75
  4. Step 4: Simplify right side
    457.25x = 995,505.06
  5. Step 5: Solve for x
    x = 995,505.06/457.25
  6. Step 6: Final answer
    x = 2,177.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.