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Finding the Third Proportional to 397.31 and 744.56

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Solution

The third proportional to 397.31 and 744.56 is: 1,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 744.56 = 744.56 : x
  2. Step 2: Convert to fraction form
    397.31/744.56 = 744.56/x
  3. Step 3: Cross multiply
    397.31x = 744.56 × 744.56
  4. Step 4: Simplify right side
    397.31x = 554,373.32
  5. Step 5: Solve for x
    x = 554,373.32/397.31
  6. Step 6: Final answer
    x = 1,395.31

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.