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Finding the Third Proportional to 225,494 and 485,872

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Solution

The third proportional to 225,494 and 485,872 is: 1,046,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,494 : 485,872 = 485,872 : x
  2. Step 2: Convert to fraction form
    225,494/485,872 = 485,872/x
  3. Step 3: Cross multiply
    225,494x = 485,872 × 485,872
  4. Step 4: Simplify right side
    225,494x = 236,071,600,384
  5. Step 5: Solve for x
    x = 236,071,600,384/225,494
  6. Step 6: Final answer
    x = 1,046,908.57

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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.