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Finding the Third Proportional to 400.89 and 599.73

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Solution

The third proportional to 400.89 and 599.73 is: 897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.89 : 599.73 = 599.73 : x
  2. Step 2: Convert to fraction form
    400.89/599.73 = 599.73/x
  3. Step 3: Cross multiply
    400.89x = 599.73 × 599.73
  4. Step 4: Simplify right side
    400.89x = 359,681.91
  5. Step 5: Solve for x
    x = 359,681.91/400.89
  6. Step 6: Final answer
    x = 897.20

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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.