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Finding the Third Proportional to 394,571.25 and 850,712.63

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Solution

The third proportional to 394,571.25 and 850,712.63 is: 1,834,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,571.25 : 850,712.63 = 850,712.63 : x
  2. Step 2: Convert to fraction form
    394,571.25/850,712.63 = 850,712.63/x
  3. Step 3: Cross multiply
    394,571.25x = 850,712.63 × 850,712.63
  4. Step 4: Simplify right side
    394,571.25x = 723,711,970,334.39
  5. Step 5: Solve for x
    x = 723,711,970,334.39/394,571.25
  6. Step 6: Final answer
    x = 1,834,173.09

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