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Finding the Third Proportional to 412.31 and 773.44

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Solution

The third proportional to 412.31 and 773.44 is: 1,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 773.44 = 773.44 : x
  2. Step 2: Convert to fraction form
    412.31/773.44 = 773.44/x
  3. Step 3: Cross multiply
    412.31x = 773.44 × 773.44
  4. Step 4: Simplify right side
    412.31x = 598,205.57
  5. Step 5: Solve for x
    x = 598,205.57/412.31
  6. Step 6: Final answer
    x = 1,450.85

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.