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Finding the Third Proportional to 355.97 and 754.69

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Solution

The third proportional to 355.97 and 754.69 is: 1,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 754.69 = 754.69 : x
  2. Step 2: Convert to fraction form
    355.97/754.69 = 754.69/x
  3. Step 3: Cross multiply
    355.97x = 754.69 × 754.69
  4. Step 4: Simplify right side
    355.97x = 569,553.22
  5. Step 5: Solve for x
    x = 569,553.22/355.97
  6. Step 6: Final answer
    x = 1,600.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.