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Finding the Third Proportional to 406.13 and 834.94

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Solution

The third proportional to 406.13 and 834.94 is: 1,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 834.94 = 834.94 : x
  2. Step 2: Convert to fraction form
    406.13/834.94 = 834.94/x
  3. Step 3: Cross multiply
    406.13x = 834.94 × 834.94
  4. Step 4: Simplify right side
    406.13x = 697,120.63
  5. Step 5: Solve for x
    x = 697,120.63/406.13
  6. Step 6: Final answer
    x = 1,716.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.