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Finding the Third Proportional to 271,836 and 568,458

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Solution

The third proportional to 271,836 and 568,458 is: 1,188,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,836 : 568,458 = 568,458 : x
  2. Step 2: Convert to fraction form
    271,836/568,458 = 568,458/x
  3. Step 3: Cross multiply
    271,836x = 568,458 × 568,458
  4. Step 4: Simplify right side
    271,836x = 323,144,497,764
  5. Step 5: Solve for x
    x = 323,144,497,764/271,836
  6. Step 6: Final answer
    x = 1,188,747.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.