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Finding the Third Proportional to 263,449.25 and 621,701.25

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Solution

The third proportional to 263,449.25 and 621,701.25 is: 1,467,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,449.25 : 621,701.25 = 621,701.25 : x
  2. Step 2: Convert to fraction form
    263,449.25/621,701.25 = 621,701.25/x
  3. Step 3: Cross multiply
    263,449.25x = 621,701.25 × 621,701.25
  4. Step 4: Simplify right side
    263,449.25x = 386,512,444,251.56
  5. Step 5: Solve for x
    x = 386,512,444,251.56/263,449.25
  6. Step 6: Final answer
    x = 1,467,122.96

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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.