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Finding the Third Proportional to 263,361.38 and 568,275.75

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Solution

The third proportional to 263,361.38 and 568,275.75 is: 1,226,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,361.38 : 568,275.75 = 568,275.75 : x
  2. Step 2: Convert to fraction form
    263,361.38/568,275.75 = 568,275.75/x
  3. Step 3: Cross multiply
    263,361.38x = 568,275.75 × 568,275.75
  4. Step 4: Simplify right side
    263,361.38x = 322,937,328,038.06
  5. Step 5: Solve for x
    x = 322,937,328,038.06/263,361.38
  6. Step 6: Final answer
    x = 1,226,213.71

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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.