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Finding the Third Proportional to 613.41 and 1,327.22

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Solution

The third proportional to 613.41 and 1,327.22 is: 2,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 1,327.22 = 1,327.22 : x
  2. Step 2: Convert to fraction form
    613.41/1,327.22 = 1,327.22/x
  3. Step 3: Cross multiply
    613.41x = 1,327.22 × 1,327.22
  4. Step 4: Simplify right side
    613.41x = 1,761,509.61
  5. Step 5: Solve for x
    x = 1,761,509.61/613.41
  6. Step 6: Final answer
    x = 2,871.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.