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Finding the Third Proportional to 279,734 and 421,922

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Solution

The third proportional to 279,734 and 421,922 is: 636,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,734 : 421,922 = 421,922 : x
  2. Step 2: Convert to fraction form
    279,734/421,922 = 421,922/x
  3. Step 3: Cross multiply
    279,734x = 421,922 × 421,922
  4. Step 4: Simplify right side
    279,734x = 178,018,174,084
  5. Step 5: Solve for x
    x = 178,018,174,084/279,734
  6. Step 6: Final answer
    x = 636,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.