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Finding the Third Proportional to 263,908.50 and 622,362.75

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Solution

The third proportional to 263,908.50 and 622,362.75 is: 1,467,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,908.50 : 622,362.75 = 622,362.75 : x
  2. Step 2: Convert to fraction form
    263,908.50/622,362.75 = 622,362.75/x
  3. Step 3: Cross multiply
    263,908.50x = 622,362.75 × 622,362.75
  4. Step 4: Simplify right side
    263,908.50x = 387,335,392,587.56
  5. Step 5: Solve for x
    x = 387,335,392,587.56/263,908.50
  6. Step 6: Final answer
    x = 1,467,688.20

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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.