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Finding the Third Proportional to 271,436 and 356,936

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Solution

The third proportional to 271,436 and 356,936 is: 469,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,436 : 356,936 = 356,936 : x
  2. Step 2: Convert to fraction form
    271,436/356,936 = 356,936/x
  3. Step 3: Cross multiply
    271,436x = 356,936 × 356,936
  4. Step 4: Simplify right side
    271,436x = 127,403,308,096
  5. Step 5: Solve for x
    x = 127,403,308,096/271,436
  6. Step 6: Final answer
    x = 469,367.76

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.