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Finding the Third Proportional to 394,985.25 and 849,912.75

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Solution

The third proportional to 394,985.25 and 849,912.75 is: 1,828,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,985.25 : 849,912.75 = 849,912.75 : x
  2. Step 2: Convert to fraction form
    394,985.25/849,912.75 = 849,912.75/x
  3. Step 3: Cross multiply
    394,985.25x = 849,912.75 × 849,912.75
  4. Step 4: Simplify right side
    394,985.25x = 722,351,682,612.56
  5. Step 5: Solve for x
    x = 722,351,682,612.56/394,985.25
  6. Step 6: Final answer
    x = 1,828,806.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.