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Finding the Third Proportional to 272.69 and 588.97

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Solution

The third proportional to 272.69 and 588.97 is: 1,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 588.97 = 588.97 : x
  2. Step 2: Convert to fraction form
    272.69/588.97 = 588.97/x
  3. Step 3: Cross multiply
    272.69x = 588.97 × 588.97
  4. Step 4: Simplify right side
    272.69x = 346,884.19
  5. Step 5: Solve for x
    x = 346,884.19/272.69
  6. Step 6: Final answer
    x = 1,272.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.