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Finding the Third Proportional to 269.82 and 588.43

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Solution

The third proportional to 269.82 and 588.43 is: 1,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 588.43 = 588.43 : x
  2. Step 2: Convert to fraction form
    269.82/588.43 = 588.43/x
  3. Step 3: Cross multiply
    269.82x = 588.43 × 588.43
  4. Step 4: Simplify right side
    269.82x = 346,254.09
  5. Step 5: Solve for x
    x = 346,254.09/269.82
  6. Step 6: Final answer
    x = 1,283.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.