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Finding the Third Proportional to 466.31 and 993.38

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Solution

The third proportional to 466.31 and 993.38 is: 2,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 993.38 = 993.38 : x
  2. Step 2: Convert to fraction form
    466.31/993.38 = 993.38/x
  3. Step 3: Cross multiply
    466.31x = 993.38 × 993.38
  4. Step 4: Simplify right side
    466.31x = 986,793.89
  5. Step 5: Solve for x
    x = 986,793.89/466.31
  6. Step 6: Final answer
    x = 2,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.