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Finding the Third Proportional to 240,999.75 and 524,850.75

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Solution

The third proportional to 240,999.75 and 524,850.75 is: 1,143,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,999.75 : 524,850.75 = 524,850.75 : x
  2. Step 2: Convert to fraction form
    240,999.75/524,850.75 = 524,850.75/x
  3. Step 3: Cross multiply
    240,999.75x = 524,850.75 × 524,850.75
  4. Step 4: Simplify right side
    240,999.75x = 275,468,309,775.56
  5. Step 5: Solve for x
    x = 275,468,309,775.56/240,999.75
  6. Step 6: Final answer
    x = 1,143,023.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.