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Finding the Third Proportional to 382.22 and 525.80

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Solution

The third proportional to 382.22 and 525.80 is: 723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 525.80 = 525.80 : x
  2. Step 2: Convert to fraction form
    382.22/525.80 = 525.80/x
  3. Step 3: Cross multiply
    382.22x = 525.80 × 525.80
  4. Step 4: Simplify right side
    382.22x = 276,462.35
  5. Step 5: Solve for x
    x = 276,462.35/382.22
  6. Step 6: Final answer
    x = 723.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.