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Finding the Third Proportional to 277,292 and 567,694

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Solution

The third proportional to 277,292 and 567,694 is: 1,162,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,292 : 567,694 = 567,694 : x
  2. Step 2: Convert to fraction form
    277,292/567,694 = 567,694/x
  3. Step 3: Cross multiply
    277,292x = 567,694 × 567,694
  4. Step 4: Simplify right side
    277,292x = 322,276,477,636
  5. Step 5: Solve for x
    x = 322,276,477,636/277,292
  6. Step 6: Final answer
    x = 1,162,227.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.