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Finding the Third Proportional to 296.75 and 698.75

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Solution

The third proportional to 296.75 and 698.75 is: 1,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 698.75 = 698.75 : x
  2. Step 2: Convert to fraction form
    296.75/698.75 = 698.75/x
  3. Step 3: Cross multiply
    296.75x = 698.75 × 698.75
  4. Step 4: Simplify right side
    296.75x = 488,251.56
  5. Step 5: Solve for x
    x = 488,251.56/296.75
  6. Step 6: Final answer
    x = 1,645.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.