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Finding the Third Proportional to 230,904 and 496,189.13

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Solution

The third proportional to 230,904 and 496,189.13 is: 1,066,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904 : 496,189.13 = 496,189.13 : x
  2. Step 2: Convert to fraction form
    230,904/496,189.13 = 496,189.13/x
  3. Step 3: Cross multiply
    230,904x = 496,189.13 × 496,189.13
  4. Step 4: Simplify right side
    230,904x = 246,203,647,768.27
  5. Step 5: Solve for x
    x = 246,203,647,768.27/230,904
  6. Step 6: Final answer
    x = 1,066,259.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.