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Finding the Third Proportional to 461.25 and 997.88

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Solution

The third proportional to 461.25 and 997.88 is: 2,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 997.88 = 997.88 : x
  2. Step 2: Convert to fraction form
    461.25/997.88 = 997.88/x
  3. Step 3: Cross multiply
    461.25x = 997.88 × 997.88
  4. Step 4: Simplify right side
    461.25x = 995,754.52
  5. Step 5: Solve for x
    x = 995,754.52/461.25
  6. Step 6: Final answer
    x = 2,158.82

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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.