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Finding the Third Proportional to 225,290 and 494,644

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Solution

The third proportional to 225,290 and 494,644 is: 1,086,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,290 : 494,644 = 494,644 : x
  2. Step 2: Convert to fraction form
    225,290/494,644 = 494,644/x
  3. Step 3: Cross multiply
    225,290x = 494,644 × 494,644
  4. Step 4: Simplify right side
    225,290x = 244,672,686,736
  5. Step 5: Solve for x
    x = 244,672,686,736/225,290
  6. Step 6: Final answer
    x = 1,086,034.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.