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Finding the Third Proportional to 568.27 and 879.40

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Solution

The third proportional to 568.27 and 879.40 is: 1,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 879.40 = 879.40 : x
  2. Step 2: Convert to fraction form
    568.27/879.40 = 879.40/x
  3. Step 3: Cross multiply
    568.27x = 879.40 × 879.40
  4. Step 4: Simplify right side
    568.27x = 773,341.61
  5. Step 5: Solve for x
    x = 773,341.61/568.27
  6. Step 6: Final answer
    x = 1,360.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.