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Finding the Third Proportional to 462.75 and 997.50

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Solution

The third proportional to 462.75 and 997.50 is: 2,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 997.50 = 997.50 : x
  2. Step 2: Convert to fraction form
    462.75/997.50 = 997.50/x
  3. Step 3: Cross multiply
    462.75x = 997.50 × 997.50
  4. Step 4: Simplify right side
    462.75x = 995,006.25
  5. Step 5: Solve for x
    x = 995,006.25/462.75
  6. Step 6: Final answer
    x = 2,150.20

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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.