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Finding the Third Proportional to 277,418.25 and 606,204

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Solution

The third proportional to 277,418.25 and 606,204 is: 1,324,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,418.25 : 606,204 = 606,204 : x
  2. Step 2: Convert to fraction form
    277,418.25/606,204 = 606,204/x
  3. Step 3: Cross multiply
    277,418.25x = 606,204 × 606,204
  4. Step 4: Simplify right side
    277,418.25x = 367,483,289,616
  5. Step 5: Solve for x
    x = 367,483,289,616/277,418.25
  6. Step 6: Final answer
    x = 1,324,654.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.