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Finding the Third Proportional to 276,914.25 and 414,910.88

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Solution

The third proportional to 276,914.25 and 414,910.88 is: 621,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,914.25 : 414,910.88 = 414,910.88 : x
  2. Step 2: Convert to fraction form
    276,914.25/414,910.88 = 414,910.88/x
  3. Step 3: Cross multiply
    276,914.25x = 414,910.88 × 414,910.88
  4. Step 4: Simplify right side
    276,914.25x = 172,151,034,193.27
  5. Step 5: Solve for x
    x = 172,151,034,193.27/276,914.25
  6. Step 6: Final answer
    x = 621,676.33

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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.