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Finding the Third Proportional to 271,608 and 584,822

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Solution

The third proportional to 271,608 and 584,822 is: 1,259,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608 : 584,822 = 584,822 : x
  2. Step 2: Convert to fraction form
    271,608/584,822 = 584,822/x
  3. Step 3: Cross multiply
    271,608x = 584,822 × 584,822
  4. Step 4: Simplify right side
    271,608x = 342,016,771,684
  5. Step 5: Solve for x
    x = 342,016,771,684/271,608
  6. Step 6: Final answer
    x = 1,259,229.37

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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.