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Finding the Third Proportional to 381.38 and 583.80

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Solution

The third proportional to 381.38 and 583.80 is: 893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 583.80 = 583.80 : x
  2. Step 2: Convert to fraction form
    381.38/583.80 = 583.80/x
  3. Step 3: Cross multiply
    381.38x = 583.80 × 583.80
  4. Step 4: Simplify right side
    381.38x = 340,827.91
  5. Step 5: Solve for x
    x = 340,827.91/381.38
  6. Step 6: Final answer
    x = 893.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.