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Finding the Third Proportional to 264,616 and 397,517

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Solution

The third proportional to 264,616 and 397,517 is: 597,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,616 : 397,517 = 397,517 : x
  2. Step 2: Convert to fraction form
    264,616/397,517 = 397,517/x
  3. Step 3: Cross multiply
    264,616x = 397,517 × 397,517
  4. Step 4: Simplify right side
    264,616x = 158,019,765,289
  5. Step 5: Solve for x
    x = 158,019,765,289/264,616
  6. Step 6: Final answer
    x = 597,166.33

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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.