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Finding the Third Proportional to 599,355 and 905,249.25

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Solution

The third proportional to 599,355 and 905,249.25 is: 1,367,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,355 : 905,249.25 = 905,249.25 : x
  2. Step 2: Convert to fraction form
    599,355/905,249.25 = 905,249.25/x
  3. Step 3: Cross multiply
    599,355x = 905,249.25 × 905,249.25
  4. Step 4: Simplify right side
    599,355x = 819,476,204,625.56
  5. Step 5: Solve for x
    x = 819,476,204,625.56/599,355
  6. Step 6: Final answer
    x = 1,367,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.