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Finding the Third Proportional to 994.31 and 1,462.69

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Solution

The third proportional to 994.31 and 1,462.69 is: 2,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.31 : 1,462.69 = 1,462.69 : x
  2. Step 2: Convert to fraction form
    994.31/1,462.69 = 1,462.69/x
  3. Step 3: Cross multiply
    994.31x = 1,462.69 × 1,462.69
  4. Step 4: Simplify right side
    994.31x = 2,139,454.72
  5. Step 5: Solve for x
    x = 2,139,454.72/994.31
  6. Step 6: Final answer
    x = 2,151.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.