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Finding the Third Proportional to 599.50 and 1,443.25

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Solution

The third proportional to 599.50 and 1,443.25 is: 3,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.50 : 1,443.25 = 1,443.25 : x
  2. Step 2: Convert to fraction form
    599.50/1,443.25 = 1,443.25/x
  3. Step 3: Cross multiply
    599.50x = 1,443.25 × 1,443.25
  4. Step 4: Simplify right side
    599.50x = 2,082,970.56
  5. Step 5: Solve for x
    x = 2,082,970.56/599.50
  6. Step 6: Final answer
    x = 3,474.51

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.