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Finding the Third Proportional to 277,869 and 422,799

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Solution

The third proportional to 277,869 and 422,799 is: 643,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,869 : 422,799 = 422,799 : x
  2. Step 2: Convert to fraction form
    277,869/422,799 = 422,799/x
  3. Step 3: Cross multiply
    277,869x = 422,799 × 422,799
  4. Step 4: Simplify right side
    277,869x = 178,758,994,401
  5. Step 5: Solve for x
    x = 178,758,994,401/277,869
  6. Step 6: Final answer
    x = 643,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.