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Finding the Third Proportional to 325,404 and 666,662

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Solution

The third proportional to 325,404 and 666,662 is: 1,365,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,404 : 666,662 = 666,662 : x
  2. Step 2: Convert to fraction form
    325,404/666,662 = 666,662/x
  3. Step 3: Cross multiply
    325,404x = 666,662 × 666,662
  4. Step 4: Simplify right side
    325,404x = 444,438,222,244
  5. Step 5: Solve for x
    x = 444,438,222,244/325,404
  6. Step 6: Final answer
    x = 1,365,804.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.