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Finding the Third Proportional to 271,632 and 407,960

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Solution

The third proportional to 271,632 and 407,960 is: 612,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,632 : 407,960 = 407,960 : x
  2. Step 2: Convert to fraction form
    271,632/407,960 = 407,960/x
  3. Step 3: Cross multiply
    271,632x = 407,960 × 407,960
  4. Step 4: Simplify right side
    271,632x = 166,431,361,600
  5. Step 5: Solve for x
    x = 166,431,361,600/271,632
  6. Step 6: Final answer
    x = 612,708.97

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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.