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Finding the Third Proportional to 577.13 and 693.38

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Solution

The third proportional to 577.13 and 693.38 is: 833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 693.38 = 693.38 : x
  2. Step 2: Convert to fraction form
    577.13/693.38 = 693.38/x
  3. Step 3: Cross multiply
    577.13x = 693.38 × 693.38
  4. Step 4: Simplify right side
    577.13x = 480,768.89
  5. Step 5: Solve for x
    x = 480,768.89/577.13
  6. Step 6: Final answer
    x = 833.04

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.