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Finding the Third Proportional to 226,738.13 and 494,920.13

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Solution

The third proportional to 226,738.13 and 494,920.13 is: 1,080,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,738.13 : 494,920.13 = 494,920.13 : x
  2. Step 2: Convert to fraction form
    226,738.13/494,920.13 = 494,920.13/x
  3. Step 3: Cross multiply
    226,738.13x = 494,920.13 × 494,920.13
  4. Step 4: Simplify right side
    226,738.13x = 244,945,930,130.02
  5. Step 5: Solve for x
    x = 244,945,930,130.02/226,738.13
  6. Step 6: Final answer
    x = 1,080,303.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.