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Finding the Third Proportional to 425.75 and 884.88

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Solution

The third proportional to 425.75 and 884.88 is: 1,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 884.88 = 884.88 : x
  2. Step 2: Convert to fraction form
    425.75/884.88 = 884.88/x
  3. Step 3: Cross multiply
    425.75x = 884.88 × 884.88
  4. Step 4: Simplify right side
    425.75x = 783,003.77
  5. Step 5: Solve for x
    x = 783,003.77/425.75
  6. Step 6: Final answer
    x = 1,839.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.