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Finding the Third Proportional to 613.35 and 1,277.96

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Solution

The third proportional to 613.35 and 1,277.96 is: 2,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.35 : 1,277.96 = 1,277.96 : x
  2. Step 2: Convert to fraction form
    613.35/1,277.96 = 1,277.96/x
  3. Step 3: Cross multiply
    613.35x = 1,277.96 × 1,277.96
  4. Step 4: Simplify right side
    613.35x = 1,633,194.14
  5. Step 5: Solve for x
    x = 1,633,194.14/613.35
  6. Step 6: Final answer
    x = 2,662.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.