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Finding the Third Proportional to 665.44 and 996.19

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Solution

The third proportional to 665.44 and 996.19 is: 1,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 996.19 = 996.19 : x
  2. Step 2: Convert to fraction form
    665.44/996.19 = 996.19/x
  3. Step 3: Cross multiply
    665.44x = 996.19 × 996.19
  4. Step 4: Simplify right side
    665.44x = 992,389.54
  5. Step 5: Solve for x
    x = 992,389.54/665.44
  6. Step 6: Final answer
    x = 1,491.33

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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.