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Finding the Third Proportional to 225,946 and 481,916

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Solution

The third proportional to 225,946 and 481,916 is: 1,027,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,946 : 481,916 = 481,916 : x
  2. Step 2: Convert to fraction form
    225,946/481,916 = 481,916/x
  3. Step 3: Cross multiply
    225,946x = 481,916 × 481,916
  4. Step 4: Simplify right side
    225,946x = 232,243,031,056
  5. Step 5: Solve for x
    x = 232,243,031,056/225,946
  6. Step 6: Final answer
    x = 1,027,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.