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Finding the Third Proportional to 224,832.38 and 481,714.88

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Solution

The third proportional to 224,832.38 and 481,714.88 is: 1,032,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832.38 : 481,714.88 = 481,714.88 : x
  2. Step 2: Convert to fraction form
    224,832.38/481,714.88 = 481,714.88/x
  3. Step 3: Cross multiply
    224,832.38x = 481,714.88 × 481,714.88
  4. Step 4: Simplify right side
    224,832.38x = 232,049,220,796.27
  5. Step 5: Solve for x
    x = 232,049,220,796.27/224,832.38
  6. Step 6: Final answer
    x = 1,032,098.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.