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Finding the Third Proportional to 225,481 and 469,620

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Solution

The third proportional to 225,481 and 469,620 is: 978,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,481 : 469,620 = 469,620 : x
  2. Step 2: Convert to fraction form
    225,481/469,620 = 469,620/x
  3. Step 3: Cross multiply
    225,481x = 469,620 × 469,620
  4. Step 4: Simplify right side
    225,481x = 220,542,944,400
  5. Step 5: Solve for x
    x = 220,542,944,400/225,481
  6. Step 6: Final answer
    x = 978,099.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.