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Finding the Third Proportional to 500,550 and 1,181,087.25

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Solution

The third proportional to 500,550 and 1,181,087.25 is: 2,786,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,550 : 1,181,087.25 = 1,181,087.25 : x
  2. Step 2: Convert to fraction form
    500,550/1,181,087.25 = 1,181,087.25/x
  3. Step 3: Cross multiply
    500,550x = 1,181,087.25 × 1,181,087.25
  4. Step 4: Simplify right side
    500,550x = 1,394,967,092,112.56
  5. Step 5: Solve for x
    x = 1,394,967,092,112.56/500,550
  6. Step 6: Final answer
    x = 2,786,868.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.