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Finding the Third Proportional to 606.23 and 834.68

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Solution

The third proportional to 606.23 and 834.68 is: 1,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.23 : 834.68 = 834.68 : x
  2. Step 2: Convert to fraction form
    606.23/834.68 = 834.68/x
  3. Step 3: Cross multiply
    606.23x = 834.68 × 834.68
  4. Step 4: Simplify right side
    606.23x = 696,690.18
  5. Step 5: Solve for x
    x = 696,690.18/606.23
  6. Step 6: Final answer
    x = 1,149.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.