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Finding the Third Proportional to 277,189 and 598,694

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Solution

The third proportional to 277,189 and 598,694 is: 1,293,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,189 : 598,694 = 598,694 : x
  2. Step 2: Convert to fraction form
    277,189/598,694 = 598,694/x
  3. Step 3: Cross multiply
    277,189x = 598,694 × 598,694
  4. Step 4: Simplify right side
    277,189x = 358,434,505,636
  5. Step 5: Solve for x
    x = 358,434,505,636/277,189
  6. Step 6: Final answer
    x = 1,293,105.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.