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Finding the Third Proportional to 268,422 and 584,794

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Solution

The third proportional to 268,422 and 584,794 is: 1,274,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,422 : 584,794 = 584,794 : x
  2. Step 2: Convert to fraction form
    268,422/584,794 = 584,794/x
  3. Step 3: Cross multiply
    268,422x = 584,794 × 584,794
  4. Step 4: Simplify right side
    268,422x = 341,984,022,436
  5. Step 5: Solve for x
    x = 341,984,022,436/268,422
  6. Step 6: Final answer
    x = 1,274,053.63

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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.