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Finding the Third Proportional to 433.90 and 650.11

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Solution

The third proportional to 433.90 and 650.11 is: 974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 650.11 = 650.11 : x
  2. Step 2: Convert to fraction form
    433.90/650.11 = 650.11/x
  3. Step 3: Cross multiply
    433.90x = 650.11 × 650.11
  4. Step 4: Simplify right side
    433.90x = 422,642.20
  5. Step 5: Solve for x
    x = 422,642.20/433.90
  6. Step 6: Final answer
    x = 974.06

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Why These Related Problems?

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