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Finding the Third Proportional to 858.88 and 1,704.25

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Solution

The third proportional to 858.88 and 1,704.25 is: 3,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.88 : 1,704.25 = 1,704.25 : x
  2. Step 2: Convert to fraction form
    858.88/1,704.25 = 1,704.25/x
  3. Step 3: Cross multiply
    858.88x = 1,704.25 × 1,704.25
  4. Step 4: Simplify right side
    858.88x = 2,904,468.06
  5. Step 5: Solve for x
    x = 2,904,468.06/858.88
  6. Step 6: Final answer
    x = 3,381.71

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.