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Finding the Third Proportional to 333,524.25 and 729,327.38

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Solution

The third proportional to 333,524.25 and 729,327.38 is: 1,594,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,524.25 : 729,327.38 = 729,327.38 : x
  2. Step 2: Convert to fraction form
    333,524.25/729,327.38 = 729,327.38/x
  3. Step 3: Cross multiply
    333,524.25x = 729,327.38 × 729,327.38
  4. Step 4: Simplify right side
    333,524.25x = 531,918,419,924.39
  5. Step 5: Solve for x
    x = 531,918,419,924.39/333,524.25
  6. Step 6: Final answer
    x = 1,594,841.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.