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Finding the Third Proportional to 399.94 and 691.03

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Solution

The third proportional to 399.94 and 691.03 is: 1,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 691.03 = 691.03 : x
  2. Step 2: Convert to fraction form
    399.94/691.03 = 691.03/x
  3. Step 3: Cross multiply
    399.94x = 691.03 × 691.03
  4. Step 4: Simplify right side
    399.94x = 477,524.19
  5. Step 5: Solve for x
    x = 477,524.19/399.94
  6. Step 6: Final answer
    x = 1,194.00

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.