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Finding the Third Proportional to 613.55 and 1,331.72

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Solution

The third proportional to 613.55 and 1,331.72 is: 2,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.55 : 1,331.72 = 1,331.72 : x
  2. Step 2: Convert to fraction form
    613.55/1,331.72 = 1,331.72/x
  3. Step 3: Cross multiply
    613.55x = 1,331.72 × 1,331.72
  4. Step 4: Simplify right side
    613.55x = 1,773,474.83
  5. Step 5: Solve for x
    x = 1,773,474.83/613.55
  6. Step 6: Final answer
    x = 2,890.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.