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Finding the Third Proportional to 225,959.50 and 481,943

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Solution

The third proportional to 225,959.50 and 481,943 is: 1,027,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,959.50 : 481,943 = 481,943 : x
  2. Step 2: Convert to fraction form
    225,959.50/481,943 = 481,943/x
  3. Step 3: Cross multiply
    225,959.50x = 481,943 × 481,943
  4. Step 4: Simplify right side
    225,959.50x = 232,269,055,249
  5. Step 5: Solve for x
    x = 232,269,055,249/225,959.50
  6. Step 6: Final answer
    x = 1,027,923.39

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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.