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Finding the Third Proportional to 394,750.13 and 856,568.25

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Solution

The third proportional to 394,750.13 and 856,568.25 is: 1,858,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,750.13 : 856,568.25 = 856,568.25 : x
  2. Step 2: Convert to fraction form
    394,750.13/856,568.25 = 856,568.25/x
  3. Step 3: Cross multiply
    394,750.13x = 856,568.25 × 856,568.25
  4. Step 4: Simplify right side
    394,750.13x = 733,709,166,908.06
  5. Step 5: Solve for x
    x = 733,709,166,908.06/394,750.13
  6. Step 6: Final answer
    x = 1,858,667.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.