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Finding the Third Proportional to 381.75 and 884.25

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Solution

The third proportional to 381.75 and 884.25 is: 2,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 884.25 = 884.25 : x
  2. Step 2: Convert to fraction form
    381.75/884.25 = 884.25/x
  3. Step 3: Cross multiply
    381.75x = 884.25 × 884.25
  4. Step 4: Simplify right side
    381.75x = 781,898.06
  5. Step 5: Solve for x
    x = 781,898.06/381.75
  6. Step 6: Final answer
    x = 2,048.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.