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Finding the Third Proportional to 393,844 and 802,131

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Solution

The third proportional to 393,844 and 802,131 is: 1,633,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,844 : 802,131 = 802,131 : x
  2. Step 2: Convert to fraction form
    393,844/802,131 = 802,131/x
  3. Step 3: Cross multiply
    393,844x = 802,131 × 802,131
  4. Step 4: Simplify right side
    393,844x = 643,414,141,161
  5. Step 5: Solve for x
    x = 643,414,141,161/393,844
  6. Step 6: Final answer
    x = 1,633,677.65

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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.