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Finding the Third Proportional to 225,934.50 and 481,893

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Solution

The third proportional to 225,934.50 and 481,893 is: 1,027,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,934.50 : 481,893 = 481,893 : x
  2. Step 2: Convert to fraction form
    225,934.50/481,893 = 481,893/x
  3. Step 3: Cross multiply
    225,934.50x = 481,893 × 481,893
  4. Step 4: Simplify right side
    225,934.50x = 232,220,863,449
  5. Step 5: Solve for x
    x = 232,220,863,449/225,934.50
  6. Step 6: Final answer
    x = 1,027,823.83

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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.