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Finding the Third Proportional to 279,866 and 601,204

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Solution

The third proportional to 279,866 and 601,204 is: 1,291,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,866 : 601,204 = 601,204 : x
  2. Step 2: Convert to fraction form
    279,866/601,204 = 601,204/x
  3. Step 3: Cross multiply
    279,866x = 601,204 × 601,204
  4. Step 4: Simplify right side
    279,866x = 361,446,249,616
  5. Step 5: Solve for x
    x = 361,446,249,616/279,866
  6. Step 6: Final answer
    x = 1,291,497.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.