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Finding the Third Proportional to 400,976 and 835,125

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Solution

The third proportional to 400,976 and 835,125 is: 1,739,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,976 : 835,125 = 835,125 : x
  2. Step 2: Convert to fraction form
    400,976/835,125 = 835,125/x
  3. Step 3: Cross multiply
    400,976x = 835,125 × 835,125
  4. Step 4: Simplify right side
    400,976x = 697,433,765,625
  5. Step 5: Solve for x
    x = 697,433,765,625/400,976
  6. Step 6: Final answer
    x = 1,739,340.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.