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Finding the Third Proportional to 393.82 and 864.42

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Solution

The third proportional to 393.82 and 864.42 is: 1,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.82 : 864.42 = 864.42 : x
  2. Step 2: Convert to fraction form
    393.82/864.42 = 864.42/x
  3. Step 3: Cross multiply
    393.82x = 864.42 × 864.42
  4. Step 4: Simplify right side
    393.82x = 747,225.18
  5. Step 5: Solve for x
    x = 747,225.18/393.82
  6. Step 6: Final answer
    x = 1,897.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.