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Finding the Third Proportional to 271,204 and 589,975

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Solution

The third proportional to 271,204 and 589,975 is: 1,283,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,204 : 589,975 = 589,975 : x
  2. Step 2: Convert to fraction form
    271,204/589,975 = 589,975/x
  3. Step 3: Cross multiply
    271,204x = 589,975 × 589,975
  4. Step 4: Simplify right side
    271,204x = 348,070,500,625
  5. Step 5: Solve for x
    x = 348,070,500,625/271,204
  6. Step 6: Final answer
    x = 1,283,426.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.