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Finding the Third Proportional to 393,204 and 852,984

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Solution

The third proportional to 393,204 and 852,984 is: 1,850,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,204 : 852,984 = 852,984 : x
  2. Step 2: Convert to fraction form
    393,204/852,984 = 852,984/x
  3. Step 3: Cross multiply
    393,204x = 852,984 × 852,984
  4. Step 4: Simplify right side
    393,204x = 727,581,704,256
  5. Step 5: Solve for x
    x = 727,581,704,256/393,204
  6. Step 6: Final answer
    x = 1,850,392.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.