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Finding the Third Proportional to 268.88 and 587.44

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Solution

The third proportional to 268.88 and 587.44 is: 1,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.88 : 587.44 = 587.44 : x
  2. Step 2: Convert to fraction form
    268.88/587.44 = 587.44/x
  3. Step 3: Cross multiply
    268.88x = 587.44 × 587.44
  4. Step 4: Simplify right side
    268.88x = 345,082.82
  5. Step 5: Solve for x
    x = 345,082.82/268.88
  6. Step 6: Final answer
    x = 1,283.43

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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.