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Finding the Third Proportional to 263,134.69 and 568,361.81

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Solution

The third proportional to 263,134.69 and 568,361.81 is: 1,227,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,134.69 : 568,361.81 = 568,361.81 : x
  2. Step 2: Convert to fraction form
    263,134.69/568,361.81 = 568,361.81/x
  3. Step 3: Cross multiply
    263,134.69x = 568,361.81 × 568,361.81
  4. Step 4: Simplify right side
    263,134.69x = 323,035,149,908.29
  5. Step 5: Solve for x
    x = 323,035,149,908.29/263,134.69
  6. Step 6: Final answer
    x = 1,227,641.83

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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.