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Finding the Third Proportional to 665.44 and 998.72

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Solution

The third proportional to 665.44 and 998.72 is: 1,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 998.72 = 998.72 : x
  2. Step 2: Convert to fraction form
    665.44/998.72 = 998.72/x
  3. Step 3: Cross multiply
    665.44x = 998.72 × 998.72
  4. Step 4: Simplify right side
    665.44x = 997,439.14
  5. Step 5: Solve for x
    x = 997,439.14/665.44
  6. Step 6: Final answer
    x = 1,498.92

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Why These Related Problems?

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