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Finding the Third Proportional to 274.52 and 591.02

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Solution

The third proportional to 274.52 and 591.02 is: 1,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 591.02 = 591.02 : x
  2. Step 2: Convert to fraction form
    274.52/591.02 = 591.02/x
  3. Step 3: Cross multiply
    274.52x = 591.02 × 591.02
  4. Step 4: Simplify right side
    274.52x = 349,308.70
  5. Step 5: Solve for x
    x = 349,308.70/274.52
  6. Step 6: Final answer
    x = 1,272.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.