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Finding the Third Proportional to 263,055 and 570,375

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Solution

The third proportional to 263,055 and 570,375 is: 1,236,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,055 : 570,375 = 570,375 : x
  2. Step 2: Convert to fraction form
    263,055/570,375 = 570,375/x
  3. Step 3: Cross multiply
    263,055x = 570,375 × 570,375
  4. Step 4: Simplify right side
    263,055x = 325,327,640,625
  5. Step 5: Solve for x
    x = 325,327,640,625/263,055
  6. Step 6: Final answer
    x = 1,236,728.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.