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Finding the Third Proportional to 225,483 and 469,622

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Solution

The third proportional to 225,483 and 469,622 is: 978,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,483 : 469,622 = 469,622 : x
  2. Step 2: Convert to fraction form
    225,483/469,622 = 469,622/x
  3. Step 3: Cross multiply
    225,483x = 469,622 × 469,622
  4. Step 4: Simplify right side
    225,483x = 220,544,822,884
  5. Step 5: Solve for x
    x = 220,544,822,884/225,483
  6. Step 6: Final answer
    x = 978,099.56

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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.