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Finding the Third Proportional to 263,784.50 and 622,291.25

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Solution

The third proportional to 263,784.50 and 622,291.25 is: 1,468,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784.50 : 622,291.25 = 622,291.25 : x
  2. Step 2: Convert to fraction form
    263,784.50/622,291.25 = 622,291.25/x
  3. Step 3: Cross multiply
    263,784.50x = 622,291.25 × 622,291.25
  4. Step 4: Simplify right side
    263,784.50x = 387,246,399,826.56
  5. Step 5: Solve for x
    x = 387,246,399,826.56/263,784.50
  6. Step 6: Final answer
    x = 1,468,040.77

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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.