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Finding the Third Proportional to 382.54 and 573.33

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Solution

The third proportional to 382.54 and 573.33 is: 859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.54 : 573.33 = 573.33 : x
  2. Step 2: Convert to fraction form
    382.54/573.33 = 573.33/x
  3. Step 3: Cross multiply
    382.54x = 573.33 × 573.33
  4. Step 4: Simplify right side
    382.54x = 328,705.14
  5. Step 5: Solve for x
    x = 328,705.14/382.54
  6. Step 6: Final answer
    x = 859.28

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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.