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Finding the Third Proportional to 393.19 and 864.56

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Solution

The third proportional to 393.19 and 864.56 is: 1,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 864.56 = 864.56 : x
  2. Step 2: Convert to fraction form
    393.19/864.56 = 864.56/x
  3. Step 3: Cross multiply
    393.19x = 864.56 × 864.56
  4. Step 4: Simplify right side
    393.19x = 747,468.32
  5. Step 5: Solve for x
    x = 747,468.32/393.19
  6. Step 6: Final answer
    x = 1,901.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.