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Finding the Third Proportional to 665.91 and 998.44

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Solution

The third proportional to 665.91 and 998.44 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 998.44 = 998.44 : x
  2. Step 2: Convert to fraction form
    665.91/998.44 = 998.44/x
  3. Step 3: Cross multiply
    665.91x = 998.44 × 998.44
  4. Step 4: Simplify right side
    665.91x = 996,877.44
  5. Step 5: Solve for x
    x = 996,877.44/665.91
  6. Step 6: Final answer
    x = 1,497.02

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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.