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Finding the Third Proportional to 354.75 and 754.78

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Solution

The third proportional to 354.75 and 754.78 is: 1,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 754.78 = 754.78 : x
  2. Step 2: Convert to fraction form
    354.75/754.78 = 754.78/x
  3. Step 3: Cross multiply
    354.75x = 754.78 × 754.78
  4. Step 4: Simplify right side
    354.75x = 569,694.74
  5. Step 5: Solve for x
    x = 569,694.74/354.75
  6. Step 6: Final answer
    x = 1,605.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.