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Finding the Third Proportional to 400.99 and 588.52

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Solution

The third proportional to 400.99 and 588.52 is: 863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.99 : 588.52 = 588.52 : x
  2. Step 2: Convert to fraction form
    400.99/588.52 = 588.52/x
  3. Step 3: Cross multiply
    400.99x = 588.52 × 588.52
  4. Step 4: Simplify right side
    400.99x = 346,350.64
  5. Step 5: Solve for x
    x = 346,350.64/400.99
  6. Step 6: Final answer
    x = 863.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.