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Finding the Third Proportional to 263,854.50 and 622,242.75

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Solution

The third proportional to 263,854.50 and 622,242.75 is: 1,467,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,854.50 : 622,242.75 = 622,242.75 : x
  2. Step 2: Convert to fraction form
    263,854.50/622,242.75 = 622,242.75/x
  3. Step 3: Cross multiply
    263,854.50x = 622,242.75 × 622,242.75
  4. Step 4: Simplify right side
    263,854.50x = 387,186,039,927.56
  5. Step 5: Solve for x
    x = 387,186,039,927.56/263,854.50
  6. Step 6: Final answer
    x = 1,467,422.54

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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.