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Finding the Third Proportional to 569,164.50 and 1,212,067.50

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Solution

The third proportional to 569,164.50 and 1,212,067.50 is: 2,581,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.50 : 1,212,067.50 = 1,212,067.50 : x
  2. Step 2: Convert to fraction form
    569,164.50/1,212,067.50 = 1,212,067.50/x
  3. Step 3: Cross multiply
    569,164.50x = 1,212,067.50 × 1,212,067.50
  4. Step 4: Simplify right side
    569,164.50x = 1,469,107,624,556.25
  5. Step 5: Solve for x
    x = 1,469,107,624,556.25/569,164.50
  6. Step 6: Final answer
    x = 2,581,165.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.