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Finding the Third Proportional to 408 and 613.50

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Solution

The third proportional to 408 and 613.50 is: 922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 613.50 = 613.50 : x
  2. Step 2: Convert to fraction form
    408/613.50 = 613.50/x
  3. Step 3: Cross multiply
    408x = 613.50 × 613.50
  4. Step 4: Simplify right side
    408x = 376,382.25
  5. Step 5: Solve for x
    x = 376,382.25/408
  6. Step 6: Final answer
    x = 922.51

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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.