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Finding the Third Proportional to 271,520.44 and 585,091.69

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Solution

The third proportional to 271,520.44 and 585,091.69 is: 1,260,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,520.44 : 585,091.69 = 585,091.69 : x
  2. Step 2: Convert to fraction form
    271,520.44/585,091.69 = 585,091.69/x
  3. Step 3: Cross multiply
    271,520.44x = 585,091.69 × 585,091.69
  4. Step 4: Simplify right side
    271,520.44x = 342,332,282,781.60
  5. Step 5: Solve for x
    x = 342,332,282,781.60/271,520.44
  6. Step 6: Final answer
    x = 1,260,797.48

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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.