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Finding the Third Proportional to 264,538 and 397,410

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Solution

The third proportional to 264,538 and 397,410 is: 597,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,538 : 397,410 = 397,410 : x
  2. Step 2: Convert to fraction form
    264,538/397,410 = 397,410/x
  3. Step 3: Cross multiply
    264,538x = 397,410 × 397,410
  4. Step 4: Simplify right side
    264,538x = 157,934,708,100
  5. Step 5: Solve for x
    x = 157,934,708,100/264,538
  6. Step 6: Final answer
    x = 597,020.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.