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Finding the Third Proportional to 704.11 and 1,072.83

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Solution

The third proportional to 704.11 and 1,072.83 is: 1,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.11 : 1,072.83 = 1,072.83 : x
  2. Step 2: Convert to fraction form
    704.11/1,072.83 = 1,072.83/x
  3. Step 3: Cross multiply
    704.11x = 1,072.83 × 1,072.83
  4. Step 4: Simplify right side
    704.11x = 1,150,960.19
  5. Step 5: Solve for x
    x = 1,150,960.19/704.11
  6. Step 6: Final answer
    x = 1,634.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.