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Finding the Third Proportional to 394,354 and 855,132

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Solution

The third proportional to 394,354 and 855,132 is: 1,854,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,354 : 855,132 = 855,132 : x
  2. Step 2: Convert to fraction form
    394,354/855,132 = 855,132/x
  3. Step 3: Cross multiply
    394,354x = 855,132 × 855,132
  4. Step 4: Simplify right side
    394,354x = 731,250,737,424
  5. Step 5: Solve for x
    x = 731,250,737,424/394,354
  6. Step 6: Final answer
    x = 1,854,300.29

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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.