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Finding the Third Proportional to 678.38 and 880.88

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Solution

The third proportional to 678.38 and 880.88 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 880.88 = 880.88 : x
  2. Step 2: Convert to fraction form
    678.38/880.88 = 880.88/x
  3. Step 3: Cross multiply
    678.38x = 880.88 × 880.88
  4. Step 4: Simplify right side
    678.38x = 775,940.77
  5. Step 5: Solve for x
    x = 775,940.77/678.38
  6. Step 6: Final answer
    x = 1,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.