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Finding the Third Proportional to 394,858.28 and 852,762.39

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Solution

The third proportional to 394,858.28 and 852,762.39 is: 1,841,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,858.28 : 852,762.39 = 852,762.39 : x
  2. Step 2: Convert to fraction form
    394,858.28/852,762.39 = 852,762.39/x
  3. Step 3: Cross multiply
    394,858.28x = 852,762.39 × 852,762.39
  4. Step 4: Simplify right side
    394,858.28x = 727,203,694,864.47
  5. Step 5: Solve for x
    x = 727,203,694,864.47/394,858.28
  6. Step 6: Final answer
    x = 1,841,682.77

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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.