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Finding the Third Proportional to 667.31 and 998.91

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Solution

The third proportional to 667.31 and 998.91 is: 1,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.31 : 998.91 = 998.91 : x
  2. Step 2: Convert to fraction form
    667.31/998.91 = 998.91/x
  3. Step 3: Cross multiply
    667.31x = 998.91 × 998.91
  4. Step 4: Simplify right side
    667.31x = 997,813.70
  5. Step 5: Solve for x
    x = 997,813.70/667.31
  6. Step 6: Final answer
    x = 1,495.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.