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Finding the Third Proportional to 263,062 and 570,390

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Solution

The third proportional to 263,062 and 570,390 is: 1,236,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,062 : 570,390 = 570,390 : x
  2. Step 2: Convert to fraction form
    263,062/570,390 = 570,390/x
  3. Step 3: Cross multiply
    263,062x = 570,390 × 570,390
  4. Step 4: Simplify right side
    263,062x = 325,344,752,100
  5. Step 5: Solve for x
    x = 325,344,752,100/263,062
  6. Step 6: Final answer
    x = 1,236,760.73

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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.