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Finding the Third Proportional to 263,057.63 and 568,154.25

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Solution

The third proportional to 263,057.63 and 568,154.25 is: 1,227,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,057.63 : 568,154.25 = 568,154.25 : x
  2. Step 2: Convert to fraction form
    263,057.63/568,154.25 = 568,154.25/x
  3. Step 3: Cross multiply
    263,057.63x = 568,154.25 × 568,154.25
  4. Step 4: Simplify right side
    263,057.63x = 322,799,251,793.06
  5. Step 5: Solve for x
    x = 322,799,251,793.06/263,057.63
  6. Step 6: Final answer
    x = 1,227,104.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.