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Finding the Third Proportional to 268.77 and 588.76

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Solution

The third proportional to 268.77 and 588.76 is: 1,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.77 : 588.76 = 588.76 : x
  2. Step 2: Convert to fraction form
    268.77/588.76 = 588.76/x
  3. Step 3: Cross multiply
    268.77x = 588.76 × 588.76
  4. Step 4: Simplify right side
    268.77x = 346,640.36
  5. Step 5: Solve for x
    x = 346,640.36/268.77
  6. Step 6: Final answer
    x = 1,289.73

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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.