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Finding the Third Proportional to 382.06 and 573.94

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Solution

The third proportional to 382.06 and 573.94 is: 862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 573.94 = 573.94 : x
  2. Step 2: Convert to fraction form
    382.06/573.94 = 573.94/x
  3. Step 3: Cross multiply
    382.06x = 573.94 × 573.94
  4. Step 4: Simplify right side
    382.06x = 329,404.25
  5. Step 5: Solve for x
    x = 329,404.25/382.06
  6. Step 6: Final answer
    x = 862.17

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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.