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Finding the Third Proportional to 550,460.25 and 1,192,524.75

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Solution

The third proportional to 550,460.25 and 1,192,524.75 is: 2,583,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,460.25 : 1,192,524.75 = 1,192,524.75 : x
  2. Step 2: Convert to fraction form
    550,460.25/1,192,524.75 = 1,192,524.75/x
  3. Step 3: Cross multiply
    550,460.25x = 1,192,524.75 × 1,192,524.75
  4. Step 4: Simplify right side
    550,460.25x = 1,422,115,279,362.56
  5. Step 5: Solve for x
    x = 1,422,115,279,362.56/550,460.25
  6. Step 6: Final answer
    x = 2,583,502.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.