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Finding the Third Proportional to 277,542 and 605,204

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Solution

The third proportional to 277,542 and 605,204 is: 1,319,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542 : 605,204 = 605,204 : x
  2. Step 2: Convert to fraction form
    277,542/605,204 = 605,204/x
  3. Step 3: Cross multiply
    277,542x = 605,204 × 605,204
  4. Step 4: Simplify right side
    277,542x = 366,271,881,616
  5. Step 5: Solve for x
    x = 366,271,881,616/277,542
  6. Step 6: Final answer
    x = 1,319,698.93

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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.