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Finding the Third Proportional to 462.13 and 998.31

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Solution

The third proportional to 462.13 and 998.31 is: 2,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.13 : 998.31 = 998.31 : x
  2. Step 2: Convert to fraction form
    462.13/998.31 = 998.31/x
  3. Step 3: Cross multiply
    462.13x = 998.31 × 998.31
  4. Step 4: Simplify right side
    462.13x = 996,627.85
  5. Step 5: Solve for x
    x = 996,627.85/462.13
  6. Step 6: Final answer
    x = 2,156.62

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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.