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Finding the Third Proportional to 225,714 and 485,412

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Solution

The third proportional to 225,714 and 485,412 is: 1,043,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,714 : 485,412 = 485,412 : x
  2. Step 2: Convert to fraction form
    225,714/485,412 = 485,412/x
  3. Step 3: Cross multiply
    225,714x = 485,412 × 485,412
  4. Step 4: Simplify right side
    225,714x = 235,624,809,744
  5. Step 5: Solve for x
    x = 235,624,809,744/225,714
  6. Step 6: Final answer
    x = 1,043,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.