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Finding the Third Proportional to 393,193 and 852,968

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Solution

The third proportional to 393,193 and 852,968 is: 1,850,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,193 : 852,968 = 852,968 : x
  2. Step 2: Convert to fraction form
    393,193/852,968 = 852,968/x
  3. Step 3: Cross multiply
    393,193x = 852,968 × 852,968
  4. Step 4: Simplify right side
    393,193x = 727,554,409,024
  5. Step 5: Solve for x
    x = 727,554,409,024/393,193
  6. Step 6: Final answer
    x = 1,850,374.78

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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.