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Finding the Third Proportional to 394,899.75 and 852,841.13

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Solution

The third proportional to 394,899.75 and 852,841.13 is: 1,841,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,899.75 : 852,841.13 = 852,841.13 : x
  2. Step 2: Convert to fraction form
    394,899.75/852,841.13 = 852,841.13/x
  3. Step 3: Cross multiply
    394,899.75x = 852,841.13 × 852,841.13
  4. Step 4: Simplify right side
    394,899.75x = 727,337,984,491.27
  5. Step 5: Solve for x
    x = 727,337,984,491.27/394,899.75
  6. Step 6: Final answer
    x = 1,841,829.44

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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.