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Finding the Third Proportional to 218,241 and 477,063

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Solution

The third proportional to 218,241 and 477,063 is: 1,042,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,241 : 477,063 = 477,063 : x
  2. Step 2: Convert to fraction form
    218,241/477,063 = 477,063/x
  3. Step 3: Cross multiply
    218,241x = 477,063 × 477,063
  4. Step 4: Simplify right side
    218,241x = 227,589,105,969
  5. Step 5: Solve for x
    x = 227,589,105,969/218,241
  6. Step 6: Final answer
    x = 1,042,833.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.