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Finding the Third Proportional to 268,422 and 584,796

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Solution

The third proportional to 268,422 and 584,796 is: 1,274,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,422 : 584,796 = 584,796 : x
  2. Step 2: Convert to fraction form
    268,422/584,796 = 584,796/x
  3. Step 3: Cross multiply
    268,422x = 584,796 × 584,796
  4. Step 4: Simplify right side
    268,422x = 341,986,361,616
  5. Step 5: Solve for x
    x = 341,986,361,616/268,422
  6. Step 6: Final answer
    x = 1,274,062.34

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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.