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Finding the Third Proportional to 230,256 and 496,794

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Solution

The third proportional to 230,256 and 496,794 is: 1,071,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,256 : 496,794 = 496,794 : x
  2. Step 2: Convert to fraction form
    230,256/496,794 = 496,794/x
  3. Step 3: Cross multiply
    230,256x = 496,794 × 496,794
  4. Step 4: Simplify right side
    230,256x = 246,804,278,436
  5. Step 5: Solve for x
    x = 246,804,278,436/230,256
  6. Step 6: Final answer
    x = 1,071,869.04

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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.