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Finding the Third Proportional to 240,100.88 and 524,481.75

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Solution

The third proportional to 240,100.88 and 524,481.75 is: 1,145,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,100.88 : 524,481.75 = 524,481.75 : x
  2. Step 2: Convert to fraction form
    240,100.88/524,481.75 = 524,481.75/x
  3. Step 3: Cross multiply
    240,100.88x = 524,481.75 × 524,481.75
  4. Step 4: Simplify right side
    240,100.88x = 275,081,106,083.06
  5. Step 5: Solve for x
    x = 275,081,106,083.06/240,100.88
  6. Step 6: Final answer
    x = 1,145,689.73

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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.