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Finding the Third Proportional to 394,884 and 852,811.50

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Solution

The third proportional to 394,884 and 852,811.50 is: 1,841,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,884 : 852,811.50 = 852,811.50 : x
  2. Step 2: Convert to fraction form
    394,884/852,811.50 = 852,811.50/x
  3. Step 3: Cross multiply
    394,884x = 852,811.50 × 852,811.50
  4. Step 4: Simplify right side
    394,884x = 727,287,454,532.25
  5. Step 5: Solve for x
    x = 727,287,454,532.25/394,884
  6. Step 6: Final answer
    x = 1,841,774.94

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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.