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Finding the Third Proportional to 268.48 and 588.86

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Solution

The third proportional to 268.48 and 588.86 is: 1,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.48 : 588.86 = 588.86 : x
  2. Step 2: Convert to fraction form
    268.48/588.86 = 588.86/x
  3. Step 3: Cross multiply
    268.48x = 588.86 × 588.86
  4. Step 4: Simplify right side
    268.48x = 346,755.36
  5. Step 5: Solve for x
    x = 346,755.36/268.48
  6. Step 6: Final answer
    x = 1,291.53

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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.