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Finding the Third Proportional to 271,938 and 437,794

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Solution

The third proportional to 271,938 and 437,794 is: 704,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,938 : 437,794 = 437,794 : x
  2. Step 2: Convert to fraction form
    271,938/437,794 = 437,794/x
  3. Step 3: Cross multiply
    271,938x = 437,794 × 437,794
  4. Step 4: Simplify right side
    271,938x = 191,663,586,436
  5. Step 5: Solve for x
    x = 191,663,586,436/271,938
  6. Step 6: Final answer
    x = 704,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.