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Finding the Third Proportional to 342.94 and 731.44

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Solution

The third proportional to 342.94 and 731.44 is: 1,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 731.44 = 731.44 : x
  2. Step 2: Convert to fraction form
    342.94/731.44 = 731.44/x
  3. Step 3: Cross multiply
    342.94x = 731.44 × 731.44
  4. Step 4: Simplify right side
    342.94x = 535,000.82
  5. Step 5: Solve for x
    x = 535,000.82/342.94
  6. Step 6: Final answer
    x = 1,560.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.