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Finding the Third Proportional to 332.86 and 731.95

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Solution

The third proportional to 332.86 and 731.95 is: 1,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.86 : 731.95 = 731.95 : x
  2. Step 2: Convert to fraction form
    332.86/731.95 = 731.95/x
  3. Step 3: Cross multiply
    332.86x = 731.95 × 731.95
  4. Step 4: Simplify right side
    332.86x = 535,755.38
  5. Step 5: Solve for x
    x = 535,755.38/332.86
  6. Step 6: Final answer
    x = 1,609.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.