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Finding the Third Proportional to 271,611 and 399,093

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Solution

The third proportional to 271,611 and 399,093 is: 586,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,611 : 399,093 = 399,093 : x
  2. Step 2: Convert to fraction form
    271,611/399,093 = 399,093/x
  3. Step 3: Cross multiply
    271,611x = 399,093 × 399,093
  4. Step 4: Simplify right side
    271,611x = 159,275,222,649
  5. Step 5: Solve for x
    x = 159,275,222,649/271,611
  6. Step 6: Final answer
    x = 586,409.32

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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.