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Finding the Third Proportional to 925,252.50 and 1,380,204

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Solution

The third proportional to 925,252.50 and 1,380,204 is: 2,058,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,252.50 : 1,380,204 = 1,380,204 : x
  2. Step 2: Convert to fraction form
    925,252.50/1,380,204 = 1,380,204/x
  3. Step 3: Cross multiply
    925,252.50x = 1,380,204 × 1,380,204
  4. Step 4: Simplify right side
    925,252.50x = 1,904,963,081,616
  5. Step 5: Solve for x
    x = 1,904,963,081,616/925,252.50
  6. Step 6: Final answer
    x = 2,058,857.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.