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Finding the Third Proportional to 393,903 and 802,244

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Solution

The third proportional to 393,903 and 802,244 is: 1,633,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,903 : 802,244 = 802,244 : x
  2. Step 2: Convert to fraction form
    393,903/802,244 = 802,244/x
  3. Step 3: Cross multiply
    393,903x = 802,244 × 802,244
  4. Step 4: Simplify right side
    393,903x = 643,595,435,536
  5. Step 5: Solve for x
    x = 643,595,435,536/393,903
  6. Step 6: Final answer
    x = 1,633,893.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.