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Finding the Third Proportional to 338.34 and 731.95

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Solution

The third proportional to 338.34 and 731.95 is: 1,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 731.95 = 731.95 : x
  2. Step 2: Convert to fraction form
    338.34/731.95 = 731.95/x
  3. Step 3: Cross multiply
    338.34x = 731.95 × 731.95
  4. Step 4: Simplify right side
    338.34x = 535,755.38
  5. Step 5: Solve for x
    x = 535,755.38/338.34
  6. Step 6: Final answer
    x = 1,583.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.