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Finding the Third Proportional to 225,186 and 481,836

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Solution

The third proportional to 225,186 and 481,836 is: 1,030,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,186 : 481,836 = 481,836 : x
  2. Step 2: Convert to fraction form
    225,186/481,836 = 481,836/x
  3. Step 3: Cross multiply
    225,186x = 481,836 × 481,836
  4. Step 4: Simplify right side
    225,186x = 232,165,930,896
  5. Step 5: Solve for x
    x = 232,165,930,896/225,186
  6. Step 6: Final answer
    x = 1,030,996.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.