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Finding the Third Proportional to 232,880 and 327,854

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Solution

The third proportional to 232,880 and 327,854 is: 461,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,880 : 327,854 = 327,854 : x
  2. Step 2: Convert to fraction form
    232,880/327,854 = 327,854/x
  3. Step 3: Cross multiply
    232,880x = 327,854 × 327,854
  4. Step 4: Simplify right side
    232,880x = 107,488,245,316
  5. Step 5: Solve for x
    x = 107,488,245,316/232,880
  6. Step 6: Final answer
    x = 461,560.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.