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Finding the Third Proportional to 433.13 and 650.81

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Solution

The third proportional to 433.13 and 650.81 is: 977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 650.81 = 650.81 : x
  2. Step 2: Convert to fraction form
    433.13/650.81 = 650.81/x
  3. Step 3: Cross multiply
    433.13x = 650.81 × 650.81
  4. Step 4: Simplify right side
    433.13x = 423,556.91
  5. Step 5: Solve for x
    x = 423,556.91/433.13
  6. Step 6: Final answer
    x = 977.91

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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.