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Finding the Third Proportional to 264,598 and 397,493

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Solution

The third proportional to 264,598 and 397,493 is: 597,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,598 : 397,493 = 397,493 : x
  2. Step 2: Convert to fraction form
    264,598/397,493 = 397,493/x
  3. Step 3: Cross multiply
    264,598x = 397,493 × 397,493
  4. Step 4: Simplify right side
    264,598x = 158,000,685,049
  5. Step 5: Solve for x
    x = 158,000,685,049/264,598
  6. Step 6: Final answer
    x = 597,134.84

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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.