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Finding the Third Proportional to 218,798 and 327,832

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Solution

The third proportional to 218,798 and 327,832 is: 491,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,798 : 327,832 = 327,832 : x
  2. Step 2: Convert to fraction form
    218,798/327,832 = 327,832/x
  3. Step 3: Cross multiply
    218,798x = 327,832 × 327,832
  4. Step 4: Simplify right side
    218,798x = 107,473,820,224
  5. Step 5: Solve for x
    x = 107,473,820,224/218,798
  6. Step 6: Final answer
    x = 491,201.11

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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.