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Finding the Third Proportional to 230,198.84 and 496,611.32

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Solution

The third proportional to 230,198.84 and 496,611.32 is: 1,071,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,198.84 : 496,611.32 = 496,611.32 : x
  2. Step 2: Convert to fraction form
    230,198.84/496,611.32 = 496,611.32/x
  3. Step 3: Cross multiply
    230,198.84x = 496,611.32 × 496,611.32
  4. Step 4: Simplify right side
    230,198.84x = 246,622,799,582.74
  5. Step 5: Solve for x
    x = 246,622,799,582.74/230,198.84
  6. Step 6: Final answer
    x = 1,071,346.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.