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Finding the Third Proportional to 408 and 935.25

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Solution

The third proportional to 408 and 935.25 is: 2,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 935.25 = 935.25 : x
  2. Step 2: Convert to fraction form
    408/935.25 = 935.25/x
  3. Step 3: Cross multiply
    408x = 935.25 × 935.25
  4. Step 4: Simplify right side
    408x = 874,692.56
  5. Step 5: Solve for x
    x = 874,692.56/408
  6. Step 6: Final answer
    x = 2,143.85

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.