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Finding the Third Proportional to 197,764 and 409,540

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Solution

The third proportional to 197,764 and 409,540 is: 848,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764 : 409,540 = 409,540 : x
  2. Step 2: Convert to fraction form
    197,764/409,540 = 409,540/x
  3. Step 3: Cross multiply
    197,764x = 409,540 × 409,540
  4. Step 4: Simplify right side
    197,764x = 167,723,011,600
  5. Step 5: Solve for x
    x = 167,723,011,600/197,764
  6. Step 6: Final answer
    x = 848,096.78

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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.