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Finding the Third Proportional to 263,284 and 397,256

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Solution

The third proportional to 263,284 and 397,256 is: 599,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,284 : 397,256 = 397,256 : x
  2. Step 2: Convert to fraction form
    263,284/397,256 = 397,256/x
  3. Step 3: Cross multiply
    263,284x = 397,256 × 397,256
  4. Step 4: Simplify right side
    263,284x = 157,812,329,536
  5. Step 5: Solve for x
    x = 157,812,329,536/263,284
  6. Step 6: Final answer
    x = 599,399.62

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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.