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Finding the Third Proportional to 408,066 and 959,833

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Solution

The third proportional to 408,066 and 959,833 is: 2,257,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,066 : 959,833 = 959,833 : x
  2. Step 2: Convert to fraction form
    408,066/959,833 = 959,833/x
  3. Step 3: Cross multiply
    408,066x = 959,833 × 959,833
  4. Step 4: Simplify right side
    408,066x = 921,279,387,889
  5. Step 5: Solve for x
    x = 921,279,387,889/408,066
  6. Step 6: Final answer
    x = 2,257,672.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.