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Finding the Third Proportional to 408.75 and 941.38

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Solution

The third proportional to 408.75 and 941.38 is: 2,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 941.38 = 941.38 : x
  2. Step 2: Convert to fraction form
    408.75/941.38 = 941.38/x
  3. Step 3: Cross multiply
    408.75x = 941.38 × 941.38
  4. Step 4: Simplify right side
    408.75x = 886,186.89
  5. Step 5: Solve for x
    x = 886,186.89/408.75
  6. Step 6: Final answer
    x = 2,168.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.