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Finding the Third Proportional to 264,838 and 397,849

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Solution

The third proportional to 264,838 and 397,849 is: 597,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,838 : 397,849 = 397,849 : x
  2. Step 2: Convert to fraction form
    264,838/397,849 = 397,849/x
  3. Step 3: Cross multiply
    264,838x = 397,849 × 397,849
  4. Step 4: Simplify right side
    264,838x = 158,283,826,801
  5. Step 5: Solve for x
    x = 158,283,826,801/264,838
  6. Step 6: Final answer
    x = 597,662.82

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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.