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Finding the Third Proportional to 219,251 and 327,995

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Solution

The third proportional to 219,251 and 327,995 is: 490,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251 : 327,995 = 327,995 : x
  2. Step 2: Convert to fraction form
    219,251/327,995 = 327,995/x
  3. Step 3: Cross multiply
    219,251x = 327,995 × 327,995
  4. Step 4: Simplify right side
    219,251x = 107,580,720,025
  5. Step 5: Solve for x
    x = 107,580,720,025/219,251
  6. Step 6: Final answer
    x = 490,673.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.