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Finding the Third Proportional to 271,566 and 585,171

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Solution

The third proportional to 271,566 and 585,171 is: 1,260,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 585,171 = 585,171 : x
  2. Step 2: Convert to fraction form
    271,566/585,171 = 585,171/x
  3. Step 3: Cross multiply
    271,566x = 585,171 × 585,171
  4. Step 4: Simplify right side
    271,566x = 342,425,099,241
  5. Step 5: Solve for x
    x = 342,425,099,241/271,566
  6. Step 6: Final answer
    x = 1,260,927.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.