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Finding the Third Proportional to 293,982 and 440,163

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Solution

The third proportional to 293,982 and 440,163 is: 659,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,982 : 440,163 = 440,163 : x
  2. Step 2: Convert to fraction form
    293,982/440,163 = 440,163/x
  3. Step 3: Cross multiply
    293,982x = 440,163 × 440,163
  4. Step 4: Simplify right side
    293,982x = 193,743,466,569
  5. Step 5: Solve for x
    x = 193,743,466,569/293,982
  6. Step 6: Final answer
    x = 659,031.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.