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Finding the Third Proportional to 264,105 and 397,422

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Solution

The third proportional to 264,105 and 397,422 is: 598,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,105 : 397,422 = 397,422 : x
  2. Step 2: Convert to fraction form
    264,105/397,422 = 397,422/x
  3. Step 3: Cross multiply
    264,105x = 397,422 × 397,422
  4. Step 4: Simplify right side
    264,105x = 157,944,246,084
  5. Step 5: Solve for x
    x = 157,944,246,084/264,105
  6. Step 6: Final answer
    x = 598,035.80

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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.