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Finding the Third Proportional to 462.88 and 998.13

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Solution

The third proportional to 462.88 and 998.13 is: 2,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 998.13 = 998.13 : x
  2. Step 2: Convert to fraction form
    462.88/998.13 = 998.13/x
  3. Step 3: Cross multiply
    462.88x = 998.13 × 998.13
  4. Step 4: Simplify right side
    462.88x = 996,253.52
  5. Step 5: Solve for x
    x = 996,253.52/462.88
  6. Step 6: Final answer
    x = 2,152.32

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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.