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Finding the Third Proportional to 277,198 and 601,451

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Solution

The third proportional to 277,198 and 601,451 is: 1,304,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,198 : 601,451 = 601,451 : x
  2. Step 2: Convert to fraction form
    277,198/601,451 = 601,451/x
  3. Step 3: Cross multiply
    277,198x = 601,451 × 601,451
  4. Step 4: Simplify right side
    277,198x = 361,743,305,401
  5. Step 5: Solve for x
    x = 361,743,305,401/277,198
  6. Step 6: Final answer
    x = 1,304,999.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.