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Finding the Third Proportional to 381.80 and 583.03

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Solution

The third proportional to 381.80 and 583.03 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 583.03 = 583.03 : x
  2. Step 2: Convert to fraction form
    381.80/583.03 = 583.03/x
  3. Step 3: Cross multiply
    381.80x = 583.03 × 583.03
  4. Step 4: Simplify right side
    381.80x = 339,925.44
  5. Step 5: Solve for x
    x = 339,925.44/381.80
  6. Step 6: Final answer
    x = 890.33

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Why These Related Problems?

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