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Finding the Third Proportional to 382.22 and 560.36

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Solution

The third proportional to 382.22 and 560.36 is: 821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 560.36 = 560.36 : x
  2. Step 2: Convert to fraction form
    382.22/560.36 = 560.36/x
  3. Step 3: Cross multiply
    382.22x = 560.36 × 560.36
  4. Step 4: Simplify right side
    382.22x = 313,998.25
  5. Step 5: Solve for x
    x = 313,998.25/382.22
  6. Step 6: Final answer
    x = 821.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.