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Finding the Third Proportional to 271,930 and 589,059

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Solution

The third proportional to 271,930 and 589,059 is: 1,276,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930 : 589,059 = 589,059 : x
  2. Step 2: Convert to fraction form
    271,930/589,059 = 589,059/x
  3. Step 3: Cross multiply
    271,930x = 589,059 × 589,059
  4. Step 4: Simplify right side
    271,930x = 346,990,505,481
  5. Step 5: Solve for x
    x = 346,990,505,481/271,930
  6. Step 6: Final answer
    x = 1,276,028.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.