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Finding the Third Proportional to 583.94 and 878.31

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Solution

The third proportional to 583.94 and 878.31 is: 1,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 878.31 = 878.31 : x
  2. Step 2: Convert to fraction form
    583.94/878.31 = 878.31/x
  3. Step 3: Cross multiply
    583.94x = 878.31 × 878.31
  4. Step 4: Simplify right side
    583.94x = 771,432.85
  5. Step 5: Solve for x
    x = 771,432.85/583.94
  6. Step 6: Final answer
    x = 1,321.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.