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Finding the Third Proportional to 408.50 and 963.50

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Solution

The third proportional to 408.50 and 963.50 is: 2,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 963.50 = 963.50 : x
  2. Step 2: Convert to fraction form
    408.50/963.50 = 963.50/x
  3. Step 3: Cross multiply
    408.50x = 963.50 × 963.50
  4. Step 4: Simplify right side
    408.50x = 928,332.25
  5. Step 5: Solve for x
    x = 928,332.25/408.50
  6. Step 6: Final answer
    x = 2,272.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.