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Finding the Third Proportional to 393,896.25 and 864,060.75

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Solution

The third proportional to 393,896.25 and 864,060.75 is: 1,895,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,896.25 : 864,060.75 = 864,060.75 : x
  2. Step 2: Convert to fraction form
    393,896.25/864,060.75 = 864,060.75/x
  3. Step 3: Cross multiply
    393,896.25x = 864,060.75 × 864,060.75
  4. Step 4: Simplify right side
    393,896.25x = 746,600,979,690.56
  5. Step 5: Solve for x
    x = 746,600,979,690.56/393,896.25
  6. Step 6: Final answer
    x = 1,895,425.46

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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.