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Finding the Third Proportional to 663.75 and 996.75

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Solution

The third proportional to 663.75 and 996.75 is: 1,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 996.75 = 996.75 : x
  2. Step 2: Convert to fraction form
    663.75/996.75 = 996.75/x
  3. Step 3: Cross multiply
    663.75x = 996.75 × 996.75
  4. Step 4: Simplify right side
    663.75x = 993,510.56
  5. Step 5: Solve for x
    x = 993,510.56/663.75
  6. Step 6: Final answer
    x = 1,496.81

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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.