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Finding the Third Proportional to 394,512 and 851,972.50

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Solution

The third proportional to 394,512 and 851,972.50 is: 1,839,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,512 : 851,972.50 = 851,972.50 : x
  2. Step 2: Convert to fraction form
    394,512/851,972.50 = 851,972.50/x
  3. Step 3: Cross multiply
    394,512x = 851,972.50 × 851,972.50
  4. Step 4: Simplify right side
    394,512x = 725,857,140,756.25
  5. Step 5: Solve for x
    x = 725,857,140,756.25/394,512
  6. Step 6: Final answer
    x = 1,839,886.09

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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.