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Finding the Third Proportional to 279,844 and 443,836

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Solution

The third proportional to 279,844 and 443,836 is: 703,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,844 : 443,836 = 443,836 : x
  2. Step 2: Convert to fraction form
    279,844/443,836 = 443,836/x
  3. Step 3: Cross multiply
    279,844x = 443,836 × 443,836
  4. Step 4: Simplify right side
    279,844x = 196,990,394,896
  5. Step 5: Solve for x
    x = 196,990,394,896/279,844
  6. Step 6: Final answer
    x = 703,929.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.