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Finding the Third Proportional to 394,585 and 855,567

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Solution

The third proportional to 394,585 and 855,567 is: 1,855,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,585 : 855,567 = 855,567 : x
  2. Step 2: Convert to fraction form
    394,585/855,567 = 855,567/x
  3. Step 3: Cross multiply
    394,585x = 855,567 × 855,567
  4. Step 4: Simplify right side
    394,585x = 731,994,891,489
  5. Step 5: Solve for x
    x = 731,994,891,489/394,585
  6. Step 6: Final answer
    x = 1,855,100.65

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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.