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Finding the Third Proportional to 615.56 and 676.31

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Solution

The third proportional to 615.56 and 676.31 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.56 : 676.31 = 676.31 : x
  2. Step 2: Convert to fraction form
    615.56/676.31 = 676.31/x
  3. Step 3: Cross multiply
    615.56x = 676.31 × 676.31
  4. Step 4: Simplify right side
    615.56x = 457,398.60
  5. Step 5: Solve for x
    x = 457,398.60/615.56
  6. Step 6: Final answer
    x = 743.06

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.