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Finding the Third Proportional to 426.95 and 640.84

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Solution

The third proportional to 426.95 and 640.84 is: 961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.95 : 640.84 = 640.84 : x
  2. Step 2: Convert to fraction form
    426.95/640.84 = 640.84/x
  3. Step 3: Cross multiply
    426.95x = 640.84 × 640.84
  4. Step 4: Simplify right side
    426.95x = 410,677.58
  5. Step 5: Solve for x
    x = 410,677.58/426.95
  6. Step 6: Final answer
    x = 961.89

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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.