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Finding the Third Proportional to 966.78 and 1,233.04

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Solution

The third proportional to 966.78 and 1,233.04 is: 1,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,233.04 = 1,233.04 : x
  2. Step 2: Convert to fraction form
    966.78/1,233.04 = 1,233.04/x
  3. Step 3: Cross multiply
    966.78x = 1,233.04 × 1,233.04
  4. Step 4: Simplify right side
    966.78x = 1,520,375.70
  5. Step 5: Solve for x
    x = 1,520,375.70/966.78
  6. Step 6: Final answer
    x = 1,572.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.