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Finding the Third Proportional to 271,736 and 595,906

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Solution

The third proportional to 271,736 and 595,906 is: 1,306,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,736 : 595,906 = 595,906 : x
  2. Step 2: Convert to fraction form
    271,736/595,906 = 595,906/x
  3. Step 3: Cross multiply
    271,736x = 595,906 × 595,906
  4. Step 4: Simplify right side
    271,736x = 355,103,960,836
  5. Step 5: Solve for x
    x = 355,103,960,836/271,736
  6. Step 6: Final answer
    x = 1,306,797.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.