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Finding the Third Proportional to 540.56 and 614.44

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Solution

The third proportional to 540.56 and 614.44 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 614.44 = 614.44 : x
  2. Step 2: Convert to fraction form
    540.56/614.44 = 614.44/x
  3. Step 3: Cross multiply
    540.56x = 614.44 × 614.44
  4. Step 4: Simplify right side
    540.56x = 377,533.44
  5. Step 5: Solve for x
    x = 377,533.44/540.56
  6. Step 6: Final answer
    x = 698.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.