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Finding the Third Proportional to 469.69 and 739.97

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Solution

The third proportional to 469.69 and 739.97 is: 1,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.69 : 739.97 = 739.97 : x
  2. Step 2: Convert to fraction form
    469.69/739.97 = 739.97/x
  3. Step 3: Cross multiply
    469.69x = 739.97 × 739.97
  4. Step 4: Simplify right side
    469.69x = 547,553.75
  5. Step 5: Solve for x
    x = 547,553.75/469.69
  6. Step 6: Final answer
    x = 1,165.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.