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Finding the Third Proportional to 731.25 and 948.66

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Solution

The third proportional to 731.25 and 948.66 is: 1,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.25 : 948.66 = 948.66 : x
  2. Step 2: Convert to fraction form
    731.25/948.66 = 948.66/x
  3. Step 3: Cross multiply
    731.25x = 948.66 × 948.66
  4. Step 4: Simplify right side
    731.25x = 899,948.68
  5. Step 5: Solve for x
    x = 899,948.68/731.25
  6. Step 6: Final answer
    x = 1,230.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.