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Finding the Third Proportional to 664,249.50 and 1,456,166.25

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Solution

The third proportional to 664,249.50 and 1,456,166.25 is: 3,192,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,249.50 : 1,456,166.25 = 1,456,166.25 : x
  2. Step 2: Convert to fraction form
    664,249.50/1,456,166.25 = 1,456,166.25/x
  3. Step 3: Cross multiply
    664,249.50x = 1,456,166.25 × 1,456,166.25
  4. Step 4: Simplify right side
    664,249.50x = 2,120,420,147,639.06
  5. Step 5: Solve for x
    x = 2,120,420,147,639.06/664,249.50
  6. Step 6: Final answer
    x = 3,192,204.36

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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.