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Finding the Third Proportional to 271.69 and 596.53

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Solution

The third proportional to 271.69 and 596.53 is: 1,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 596.53 = 596.53 : x
  2. Step 2: Convert to fraction form
    271.69/596.53 = 596.53/x
  3. Step 3: Cross multiply
    271.69x = 596.53 × 596.53
  4. Step 4: Simplify right side
    271.69x = 355,849.53
  5. Step 5: Solve for x
    x = 355,849.53/271.69
  6. Step 6: Final answer
    x = 1,309.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.