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Finding the Third Proportional to 233,469 and 327,877

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Solution

The third proportional to 233,469 and 327,877 is: 460,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,469 : 327,877 = 327,877 : x
  2. Step 2: Convert to fraction form
    233,469/327,877 = 327,877/x
  3. Step 3: Cross multiply
    233,469x = 327,877 × 327,877
  4. Step 4: Simplify right side
    233,469x = 107,503,327,129
  5. Step 5: Solve for x
    x = 107,503,327,129/233,469
  6. Step 6: Final answer
    x = 460,460.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.