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Finding the Third Proportional to 271 and 592.75

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Solution

The third proportional to 271 and 592.75 is: 1,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 592.75 = 592.75 : x
  2. Step 2: Convert to fraction form
    271/592.75 = 592.75/x
  3. Step 3: Cross multiply
    271x = 592.75 × 592.75
  4. Step 4: Simplify right side
    271x = 351,352.56
  5. Step 5: Solve for x
    x = 351,352.56/271
  6. Step 6: Final answer
    x = 1,296.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.