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Finding the Third Proportional to 452.11 and 660.87

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Solution

The third proportional to 452.11 and 660.87 is: 966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.11 : 660.87 = 660.87 : x
  2. Step 2: Convert to fraction form
    452.11/660.87 = 660.87/x
  3. Step 3: Cross multiply
    452.11x = 660.87 × 660.87
  4. Step 4: Simplify right side
    452.11x = 436,745.44
  5. Step 5: Solve for x
    x = 436,745.44/452.11
  6. Step 6: Final answer
    x = 966.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.