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Finding the Third Proportional to 393,729.19 and 863,728.31

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Solution

The third proportional to 393,729.19 and 863,728.31 is: 1,894,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,729.19 : 863,728.31 = 863,728.31 : x
  2. Step 2: Convert to fraction form
    393,729.19/863,728.31 = 863,728.31/x
  3. Step 3: Cross multiply
    393,729.19x = 863,728.31 × 863,728.31
  4. Step 4: Simplify right side
    393,729.19x = 746,026,597,814.10
  5. Step 5: Solve for x
    x = 746,026,597,814.10/393,729.19
  6. Step 6: Final answer
    x = 1,894,770.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.