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Finding the Third Proportional to 394,883 and 852,809

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Solution

The third proportional to 394,883 and 852,809 is: 1,841,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,883 : 852,809 = 852,809 : x
  2. Step 2: Convert to fraction form
    394,883/852,809 = 852,809/x
  3. Step 3: Cross multiply
    394,883x = 852,809 × 852,809
  4. Step 4: Simplify right side
    394,883x = 727,283,190,481
  5. Step 5: Solve for x
    x = 727,283,190,481/394,883
  6. Step 6: Final answer
    x = 1,841,768.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.