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Finding the Third Proportional to 404,343 and 867,738

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Solution

The third proportional to 404,343 and 867,738 is: 1,862,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,343 : 867,738 = 867,738 : x
  2. Step 2: Convert to fraction form
    404,343/867,738 = 867,738/x
  3. Step 3: Cross multiply
    404,343x = 867,738 × 867,738
  4. Step 4: Simplify right side
    404,343x = 752,969,236,644
  5. Step 5: Solve for x
    x = 752,969,236,644/404,343
  6. Step 6: Final answer
    x = 1,862,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.