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Finding the Third Proportional to 569,163.75 and 1,212,065.50

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Solution

The third proportional to 569,163.75 and 1,212,065.50 is: 2,581,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,163.75 : 1,212,065.50 = 1,212,065.50 : x
  2. Step 2: Convert to fraction form
    569,163.75/1,212,065.50 = 1,212,065.50/x
  3. Step 3: Cross multiply
    569,163.75x = 1,212,065.50 × 1,212,065.50
  4. Step 4: Simplify right side
    569,163.75x = 1,469,102,776,290.25
  5. Step 5: Solve for x
    x = 1,469,102,776,290.25/569,163.75
  6. Step 6: Final answer
    x = 2,581,160.13

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Why These Related Problems?

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