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Finding the Third Proportional to 382.22 and 577.76

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Solution

The third proportional to 382.22 and 577.76 is: 873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 577.76 = 577.76 : x
  2. Step 2: Convert to fraction form
    382.22/577.76 = 577.76/x
  3. Step 3: Cross multiply
    382.22x = 577.76 × 577.76
  4. Step 4: Simplify right side
    382.22x = 333,804.09
  5. Step 5: Solve for x
    x = 333,804.09/382.22
  6. Step 6: Final answer
    x = 873.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.