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Finding the Third Proportional to 394.08 and 859.03

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Solution

The third proportional to 394.08 and 859.03 is: 1,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 859.03 = 859.03 : x
  2. Step 2: Convert to fraction form
    394.08/859.03 = 859.03/x
  3. Step 3: Cross multiply
    394.08x = 859.03 × 859.03
  4. Step 4: Simplify right side
    394.08x = 737,934.69
  5. Step 5: Solve for x
    x = 737,934.69/394.08
  6. Step 6: Final answer
    x = 1,872.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.