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Finding the Third Proportional to 394,590 and 852,238.50

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Solution

The third proportional to 394,590 and 852,238.50 is: 1,840,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,590 : 852,238.50 = 852,238.50 : x
  2. Step 2: Convert to fraction form
    394,590/852,238.50 = 852,238.50/x
  3. Step 3: Cross multiply
    394,590x = 852,238.50 × 852,238.50
  4. Step 4: Simplify right side
    394,590x = 726,310,460,882.25
  5. Step 5: Solve for x
    x = 726,310,460,882.25/394,590
  6. Step 6: Final answer
    x = 1,840,671.23

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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.