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Finding the Third Proportional to 344.67 and 731.74

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Solution

The third proportional to 344.67 and 731.74 is: 1,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.67 : 731.74 = 731.74 : x
  2. Step 2: Convert to fraction form
    344.67/731.74 = 731.74/x
  3. Step 3: Cross multiply
    344.67x = 731.74 × 731.74
  4. Step 4: Simplify right side
    344.67x = 535,446.63
  5. Step 5: Solve for x
    x = 535,446.63/344.67
  6. Step 6: Final answer
    x = 1,553.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.