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Finding the Third Proportional to 408.80 and 632.67

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Solution

The third proportional to 408.80 and 632.67 is: 979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 632.67 = 632.67 : x
  2. Step 2: Convert to fraction form
    408.80/632.67 = 632.67/x
  3. Step 3: Cross multiply
    408.80x = 632.67 × 632.67
  4. Step 4: Simplify right side
    408.80x = 400,273.70
  5. Step 5: Solve for x
    x = 400,273.70/408.80
  6. Step 6: Final answer
    x = 979.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.