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Finding the Third Proportional to 226,321.25 and 494,681.50

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Solution

The third proportional to 226,321.25 and 494,681.50 is: 1,081,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,321.25 : 494,681.50 = 494,681.50 : x
  2. Step 2: Convert to fraction form
    226,321.25/494,681.50 = 494,681.50/x
  3. Step 3: Cross multiply
    226,321.25x = 494,681.50 × 494,681.50
  4. Step 4: Simplify right side
    226,321.25x = 244,709,786,442.25
  5. Step 5: Solve for x
    x = 244,709,786,442.25/226,321.25
  6. Step 6: Final answer
    x = 1,081,249.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.