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Finding the Third Proportional to 226,677.38 and 496,338.75

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Solution

The third proportional to 226,677.38 and 496,338.75 is: 1,086,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,677.38 : 496,338.75 = 496,338.75 : x
  2. Step 2: Convert to fraction form
    226,677.38/496,338.75 = 496,338.75/x
  3. Step 3: Cross multiply
    226,677.38x = 496,338.75 × 496,338.75
  4. Step 4: Simplify right side
    226,677.38x = 246,352,154,751.56
  5. Step 5: Solve for x
    x = 246,352,154,751.56/226,677.38
  6. Step 6: Final answer
    x = 1,086,796.40

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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.