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Finding the Third Proportional to 197,759 and 409,531

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Solution

The third proportional to 197,759 and 409,531 is: 848,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,759 : 409,531 = 409,531 : x
  2. Step 2: Convert to fraction form
    197,759/409,531 = 409,531/x
  3. Step 3: Cross multiply
    197,759x = 409,531 × 409,531
  4. Step 4: Simplify right side
    197,759x = 167,715,639,961
  5. Step 5: Solve for x
    x = 167,715,639,961/197,759
  6. Step 6: Final answer
    x = 848,080.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.