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Finding the Third Proportional to 394,641 and 852,340.50

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Solution

The third proportional to 394,641 and 852,340.50 is: 1,840,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,641 : 852,340.50 = 852,340.50 : x
  2. Step 2: Convert to fraction form
    394,641/852,340.50 = 852,340.50/x
  3. Step 3: Cross multiply
    394,641x = 852,340.50 × 852,340.50
  4. Step 4: Simplify right side
    394,641x = 726,484,327,940.25
  5. Step 5: Solve for x
    x = 726,484,327,940.25/394,641
  6. Step 6: Final answer
    x = 1,840,873.93

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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.