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Finding the Third Proportional to 263,057.63 and 568,149.19

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Solution

The third proportional to 263,057.63 and 568,149.19 is: 1,227,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,057.63 : 568,149.19 = 568,149.19 : x
  2. Step 2: Convert to fraction form
    263,057.63/568,149.19 = 568,149.19/x
  3. Step 3: Cross multiply
    263,057.63x = 568,149.19 × 568,149.19
  4. Step 4: Simplify right side
    263,057.63x = 322,793,499,256.91
  5. Step 5: Solve for x
    x = 322,793,499,256.91/263,057.63
  6. Step 6: Final answer
    x = 1,227,082.85

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