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Finding the Third Proportional to 394,750 and 931,241

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Solution

The third proportional to 394,750 and 931,241 is: 2,196,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,750 : 931,241 = 931,241 : x
  2. Step 2: Convert to fraction form
    394,750/931,241 = 931,241/x
  3. Step 3: Cross multiply
    394,750x = 931,241 × 931,241
  4. Step 4: Simplify right side
    394,750x = 867,209,800,081
  5. Step 5: Solve for x
    x = 867,209,800,081/394,750
  6. Step 6: Final answer
    x = 2,196,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.