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Finding the Third Proportional to 578,424.38 and 1,245,665.25

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Solution

The third proportional to 578,424.38 and 1,245,665.25 is: 2,682,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,424.38 : 1,245,665.25 = 1,245,665.25 : x
  2. Step 2: Convert to fraction form
    578,424.38/1,245,665.25 = 1,245,665.25/x
  3. Step 3: Cross multiply
    578,424.38x = 1,245,665.25 × 1,245,665.25
  4. Step 4: Simplify right side
    578,424.38x = 1,551,681,915,057.56
  5. Step 5: Solve for x
    x = 1,551,681,915,057.56/578,424.38
  6. Step 6: Final answer
    x = 2,682,601.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.