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Finding the Third Proportional to 399.13 and 599.13

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Solution

The third proportional to 399.13 and 599.13 is: 899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.13 : 599.13 = 599.13 : x
  2. Step 2: Convert to fraction form
    399.13/599.13 = 599.13/x
  3. Step 3: Cross multiply
    399.13x = 599.13 × 599.13
  4. Step 4: Simplify right side
    399.13x = 358,950.77
  5. Step 5: Solve for x
    x = 358,950.77/399.13
  6. Step 6: Final answer
    x = 899.34

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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.