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Finding the Third Proportional to 277,910 and 606,667

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Solution

The third proportional to 277,910 and 606,667 is: 1,324,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,910 : 606,667 = 606,667 : x
  2. Step 2: Convert to fraction form
    277,910/606,667 = 606,667/x
  3. Step 3: Cross multiply
    277,910x = 606,667 × 606,667
  4. Step 4: Simplify right side
    277,910x = 368,044,848,889
  5. Step 5: Solve for x
    x = 368,044,848,889/277,910
  6. Step 6: Final answer
    x = 1,324,331.07

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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.