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Finding the Third Proportional to 426.50 and 650.75

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Solution

The third proportional to 426.50 and 650.75 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 650.75 = 650.75 : x
  2. Step 2: Convert to fraction form
    426.50/650.75 = 650.75/x
  3. Step 3: Cross multiply
    426.50x = 650.75 × 650.75
  4. Step 4: Simplify right side
    426.50x = 423,475.56
  5. Step 5: Solve for x
    x = 423,475.56/426.50
  6. Step 6: Final answer
    x = 992.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.