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Finding the Third Proportional to 394,332 and 855,096

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Solution

The third proportional to 394,332 and 855,096 is: 1,854,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,332 : 855,096 = 855,096 : x
  2. Step 2: Convert to fraction form
    394,332/855,096 = 855,096/x
  3. Step 3: Cross multiply
    394,332x = 855,096 × 855,096
  4. Step 4: Simplify right side
    394,332x = 731,189,169,216
  5. Step 5: Solve for x
    x = 731,189,169,216/394,332
  6. Step 6: Final answer
    x = 1,854,247.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.