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Finding the Third Proportional to 270,198 and 587,963

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Solution

The third proportional to 270,198 and 587,963 is: 1,279,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198 : 587,963 = 587,963 : x
  2. Step 2: Convert to fraction form
    270,198/587,963 = 587,963/x
  3. Step 3: Cross multiply
    270,198x = 587,963 × 587,963
  4. Step 4: Simplify right side
    270,198x = 345,700,489,369
  5. Step 5: Solve for x
    x = 345,700,489,369/270,198
  6. Step 6: Final answer
    x = 1,279,433.93

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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.