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Finding the Third Proportional to 263,253.75 and 568,536.75

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Solution

The third proportional to 263,253.75 and 568,536.75 is: 1,227,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,253.75 : 568,536.75 = 568,536.75 : x
  2. Step 2: Convert to fraction form
    263,253.75/568,536.75 = 568,536.75/x
  3. Step 3: Cross multiply
    263,253.75x = 568,536.75 × 568,536.75
  4. Step 4: Simplify right side
    263,253.75x = 323,234,036,100.56
  5. Step 5: Solve for x
    x = 323,234,036,100.56/263,253.75
  6. Step 6: Final answer
    x = 1,227,842.10

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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.