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Finding the Third Proportional to 764.44 and 1,704.38

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Solution

The third proportional to 764.44 and 1,704.38 is: 3,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.44 : 1,704.38 = 1,704.38 : x
  2. Step 2: Convert to fraction form
    764.44/1,704.38 = 1,704.38/x
  3. Step 3: Cross multiply
    764.44x = 1,704.38 × 1,704.38
  4. Step 4: Simplify right side
    764.44x = 2,904,894.14
  5. Step 5: Solve for x
    x = 2,904,894.14/764.44
  6. Step 6: Final answer
    x = 3,800.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.