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Finding the Third Proportional to 271,586 and 399,063

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Solution

The third proportional to 271,586 and 399,063 is: 586,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,586 : 399,063 = 399,063 : x
  2. Step 2: Convert to fraction form
    271,586/399,063 = 399,063/x
  3. Step 3: Cross multiply
    271,586x = 399,063 × 399,063
  4. Step 4: Simplify right side
    271,586x = 159,251,277,969
  5. Step 5: Solve for x
    x = 159,251,277,969/271,586
  6. Step 6: Final answer
    x = 586,375.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.