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Finding the Third Proportional to 1,238.06 and 1,704.94

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Solution

The third proportional to 1,238.06 and 1,704.94 is: 2,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.06 : 1,704.94 = 1,704.94 : x
  2. Step 2: Convert to fraction form
    1,238.06/1,704.94 = 1,704.94/x
  3. Step 3: Cross multiply
    1,238.06x = 1,704.94 × 1,704.94
  4. Step 4: Simplify right side
    1,238.06x = 2,906,811.88
  5. Step 5: Solve for x
    x = 2,906,811.88/1,238.06
  6. Step 6: Final answer
    x = 2,347.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.