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Finding the Third Proportional to 269,976.80 and 583,249.36

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Solution

The third proportional to 269,976.80 and 583,249.36 is: 1,260,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,976.80 : 583,249.36 = 583,249.36 : x
  2. Step 2: Convert to fraction form
    269,976.80/583,249.36 = 583,249.36/x
  3. Step 3: Cross multiply
    269,976.80x = 583,249.36 × 583,249.36
  4. Step 4: Simplify right side
    269,976.80x = 340,179,815,211.35
  5. Step 5: Solve for x
    x = 340,179,815,211.35/269,976.80
  6. Step 6: Final answer
    x = 1,260,033.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.