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Finding the Third Proportional to 394,602 and 852,262.50

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Solution

The third proportional to 394,602 and 852,262.50 is: 1,840,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,602 : 852,262.50 = 852,262.50 : x
  2. Step 2: Convert to fraction form
    394,602/852,262.50 = 852,262.50/x
  3. Step 3: Cross multiply
    394,602x = 852,262.50 × 852,262.50
  4. Step 4: Simplify right side
    394,602x = 726,351,368,906.25
  5. Step 5: Solve for x
    x = 726,351,368,906.25/394,602
  6. Step 6: Final answer
    x = 1,840,718.92

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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.