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Finding the Third Proportional to 285,163.50 and 622,913.25

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Solution

The third proportional to 285,163.50 and 622,913.25 is: 1,360,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,163.50 : 622,913.25 = 622,913.25 : x
  2. Step 2: Convert to fraction form
    285,163.50/622,913.25 = 622,913.25/x
  3. Step 3: Cross multiply
    285,163.50x = 622,913.25 × 622,913.25
  4. Step 4: Simplify right side
    285,163.50x = 388,020,917,025.56
  5. Step 5: Solve for x
    x = 388,020,917,025.56/285,163.50
  6. Step 6: Final answer
    x = 1,360,696.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.