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Finding the Third Proportional to 394,476 and 851,986.50

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Solution

The third proportional to 394,476 and 851,986.50 is: 1,840,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,476 : 851,986.50 = 851,986.50 : x
  2. Step 2: Convert to fraction form
    394,476/851,986.50 = 851,986.50/x
  3. Step 3: Cross multiply
    394,476x = 851,986.50 × 851,986.50
  4. Step 4: Simplify right side
    394,476x = 725,880,996,182.25
  5. Step 5: Solve for x
    x = 725,880,996,182.25/394,476
  6. Step 6: Final answer
    x = 1,840,114.47

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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.