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Finding the Third Proportional to 366,834 and 804,973

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Solution

The third proportional to 366,834 and 804,973 is: 1,766,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,834 : 804,973 = 804,973 : x
  2. Step 2: Convert to fraction form
    366,834/804,973 = 804,973/x
  3. Step 3: Cross multiply
    366,834x = 804,973 × 804,973
  4. Step 4: Simplify right side
    366,834x = 647,981,530,729
  5. Step 5: Solve for x
    x = 647,981,530,729/366,834
  6. Step 6: Final answer
    x = 1,766,416.23

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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.