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Finding the Third Proportional to 271.41 and 613.69

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Solution

The third proportional to 271.41 and 613.69 is: 1,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 613.69 = 613.69 : x
  2. Step 2: Convert to fraction form
    271.41/613.69 = 613.69/x
  3. Step 3: Cross multiply
    271.41x = 613.69 × 613.69
  4. Step 4: Simplify right side
    271.41x = 376,612.35
  5. Step 5: Solve for x
    x = 376,612.35/271.41
  6. Step 6: Final answer
    x = 1,387.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.