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Finding the Third Proportional to 275,219.25 and 455,496.75

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Solution

The third proportional to 275,219.25 and 455,496.75 is: 753,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,219.25 : 455,496.75 = 455,496.75 : x
  2. Step 2: Convert to fraction form
    275,219.25/455,496.75 = 455,496.75/x
  3. Step 3: Cross multiply
    275,219.25x = 455,496.75 × 455,496.75
  4. Step 4: Simplify right side
    275,219.25x = 207,477,289,260.56
  5. Step 5: Solve for x
    x = 207,477,289,260.56/275,219.25
  6. Step 6: Final answer
    x = 753,861.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.