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Finding the Third Proportional to 382.13 and 577.88

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Solution

The third proportional to 382.13 and 577.88 is: 873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 577.88 = 577.88 : x
  2. Step 2: Convert to fraction form
    382.13/577.88 = 577.88/x
  3. Step 3: Cross multiply
    382.13x = 577.88 × 577.88
  4. Step 4: Simplify right side
    382.13x = 333,939.52
  5. Step 5: Solve for x
    x = 333,939.52/382.13
  6. Step 6: Final answer
    x = 873.90

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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.