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Finding the Third Proportional to 381.38 and 570.94

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Solution

The third proportional to 381.38 and 570.94 is: 854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 570.94 = 570.94 : x
  2. Step 2: Convert to fraction form
    381.38/570.94 = 570.94/x
  3. Step 3: Cross multiply
    381.38x = 570.94 × 570.94
  4. Step 4: Simplify right side
    381.38x = 325,969.63
  5. Step 5: Solve for x
    x = 325,969.63/381.38
  6. Step 6: Final answer
    x = 854.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.