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Finding the Third Proportional to 577.13 and 868.22

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Solution

The third proportional to 577.13 and 868.22 is: 1,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 868.22 = 868.22 : x
  2. Step 2: Convert to fraction form
    577.13/868.22 = 868.22/x
  3. Step 3: Cross multiply
    577.13x = 868.22 × 868.22
  4. Step 4: Simplify right side
    577.13x = 753,803.80
  5. Step 5: Solve for x
    x = 753,803.80/577.13
  6. Step 6: Final answer
    x = 1,306.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.