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Finding the Third Proportional to 275,674.50 and 413,493.75

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Solution

The third proportional to 275,674.50 and 413,493.75 is: 620,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,674.50 : 413,493.75 = 413,493.75 : x
  2. Step 2: Convert to fraction form
    275,674.50/413,493.75 = 413,493.75/x
  3. Step 3: Cross multiply
    275,674.50x = 413,493.75 × 413,493.75
  4. Step 4: Simplify right side
    275,674.50x = 170,977,081,289.06
  5. Step 5: Solve for x
    x = 170,977,081,289.06/275,674.50
  6. Step 6: Final answer
    x = 620,213.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.