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Finding the Third Proportional to 230,943 and 496,266

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Solution

The third proportional to 230,943 and 496,266 is: 1,066,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,943 : 496,266 = 496,266 : x
  2. Step 2: Convert to fraction form
    230,943/496,266 = 496,266/x
  3. Step 3: Cross multiply
    230,943x = 496,266 × 496,266
  4. Step 4: Simplify right side
    230,943x = 246,279,942,756
  5. Step 5: Solve for x
    x = 246,279,942,756/230,943
  6. Step 6: Final answer
    x = 1,066,410.08

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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.