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Finding the Third Proportional to 322,740 and 659,736

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Solution

The third proportional to 322,740 and 659,736 is: 1,348,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,740 : 659,736 = 659,736 : x
  2. Step 2: Convert to fraction form
    322,740/659,736 = 659,736/x
  3. Step 3: Cross multiply
    322,740x = 659,736 × 659,736
  4. Step 4: Simplify right side
    322,740x = 435,251,589,696
  5. Step 5: Solve for x
    x = 435,251,589,696/322,740
  6. Step 6: Final answer
    x = 1,348,613.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.