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Finding the Third Proportional to 340.45 and 749.25

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Solution

The third proportional to 340.45 and 749.25 is: 1,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.45 : 749.25 = 749.25 : x
  2. Step 2: Convert to fraction form
    340.45/749.25 = 749.25/x
  3. Step 3: Cross multiply
    340.45x = 749.25 × 749.25
  4. Step 4: Simplify right side
    340.45x = 561,375.56
  5. Step 5: Solve for x
    x = 561,375.56/340.45
  6. Step 6: Final answer
    x = 1,648.91

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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.