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Finding the Third Proportional to 381.80 and 588.52

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Solution

The third proportional to 381.80 and 588.52 is: 907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 588.52 = 588.52 : x
  2. Step 2: Convert to fraction form
    381.80/588.52 = 588.52/x
  3. Step 3: Cross multiply
    381.80x = 588.52 × 588.52
  4. Step 4: Simplify right side
    381.80x = 346,350.64
  5. Step 5: Solve for x
    x = 346,350.64/381.80
  6. Step 6: Final answer
    x = 907.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.