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Finding the Third Proportional to 732.80 and 965.67

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Solution

The third proportional to 732.80 and 965.67 is: 1,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.80 : 965.67 = 965.67 : x
  2. Step 2: Convert to fraction form
    732.80/965.67 = 965.67/x
  3. Step 3: Cross multiply
    732.80x = 965.67 × 965.67
  4. Step 4: Simplify right side
    732.80x = 932,522.17
  5. Step 5: Solve for x
    x = 932,522.17/732.80
  6. Step 6: Final answer
    x = 1,272.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.