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Finding the Third Proportional to 193,398 and 419,052

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Solution

The third proportional to 193,398 and 419,052 is: 907,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,398 : 419,052 = 419,052 : x
  2. Step 2: Convert to fraction form
    193,398/419,052 = 419,052/x
  3. Step 3: Cross multiply
    193,398x = 419,052 × 419,052
  4. Step 4: Simplify right side
    193,398x = 175,604,578,704
  5. Step 5: Solve for x
    x = 175,604,578,704/193,398
  6. Step 6: Final answer
    x = 907,995.84

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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.