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Finding the Third Proportional to 354.75 and 769.69

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Solution

The third proportional to 354.75 and 769.69 is: 1,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 769.69 = 769.69 : x
  2. Step 2: Convert to fraction form
    354.75/769.69 = 769.69/x
  3. Step 3: Cross multiply
    354.75x = 769.69 × 769.69
  4. Step 4: Simplify right side
    354.75x = 592,418.85
  5. Step 5: Solve for x
    x = 592,418.85/354.75
  6. Step 6: Final answer
    x = 1,669.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.