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Finding the Third Proportional to 540.94 and 862.88

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Solution

The third proportional to 540.94 and 862.88 is: 1,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 862.88 = 862.88 : x
  2. Step 2: Convert to fraction form
    540.94/862.88 = 862.88/x
  3. Step 3: Cross multiply
    540.94x = 862.88 × 862.88
  4. Step 4: Simplify right side
    540.94x = 744,553.27
  5. Step 5: Solve for x
    x = 744,553.27/540.94
  6. Step 6: Final answer
    x = 1,376.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.