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Finding the Third Proportional to 264,451.50 and 397,257.75

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Solution

The third proportional to 264,451.50 and 397,257.75 is: 596,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,451.50 : 397,257.75 = 397,257.75 : x
  2. Step 2: Convert to fraction form
    264,451.50/397,257.75 = 397,257.75/x
  3. Step 3: Cross multiply
    264,451.50x = 397,257.75 × 397,257.75
  4. Step 4: Simplify right side
    264,451.50x = 157,813,719,935.06
  5. Step 5: Solve for x
    x = 157,813,719,935.06/264,451.50
  6. Step 6: Final answer
    x = 596,758.65

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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.