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Finding the Third Proportional to 321,147 and 422,394.75

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Solution

The third proportional to 321,147 and 422,394.75 is: 555,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,147 : 422,394.75 = 422,394.75 : x
  2. Step 2: Convert to fraction form
    321,147/422,394.75 = 422,394.75/x
  3. Step 3: Cross multiply
    321,147x = 422,394.75 × 422,394.75
  4. Step 4: Simplify right side
    321,147x = 178,417,324,827.56
  5. Step 5: Solve for x
    x = 178,417,324,827.56/321,147
  6. Step 6: Final answer
    x = 555,562.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.