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Finding the Third Proportional to 345,627.75 and 751,843

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Solution

The third proportional to 345,627.75 and 751,843 is: 1,635,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,627.75 : 751,843 = 751,843 : x
  2. Step 2: Convert to fraction form
    345,627.75/751,843 = 751,843/x
  3. Step 3: Cross multiply
    345,627.75x = 751,843 × 751,843
  4. Step 4: Simplify right side
    345,627.75x = 565,267,896,649
  5. Step 5: Solve for x
    x = 565,267,896,649/345,627.75
  6. Step 6: Final answer
    x = 1,635,481.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.