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Finding the Third Proportional to 271.25 and 655.63

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Solution

The third proportional to 271.25 and 655.63 is: 1,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.25 : 655.63 = 655.63 : x
  2. Step 2: Convert to fraction form
    271.25/655.63 = 655.63/x
  3. Step 3: Cross multiply
    271.25x = 655.63 × 655.63
  4. Step 4: Simplify right side
    271.25x = 429,844.14
  5. Step 5: Solve for x
    x = 429,844.14/271.25
  6. Step 6: Final answer
    x = 1,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.