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Finding the Third Proportional to 382.13 and 577.31

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Solution

The third proportional to 382.13 and 577.31 is: 872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 577.31 = 577.31 : x
  2. Step 2: Convert to fraction form
    382.13/577.31 = 577.31/x
  3. Step 3: Cross multiply
    382.13x = 577.31 × 577.31
  4. Step 4: Simplify right side
    382.13x = 333,289.72
  5. Step 5: Solve for x
    x = 333,289.72/382.13
  6. Step 6: Final answer
    x = 872.20

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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.