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Finding the Third Proportional to 224,832 and 481,714

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Solution

The third proportional to 224,832 and 481,714 is: 1,032,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832 : 481,714 = 481,714 : x
  2. Step 2: Convert to fraction form
    224,832/481,714 = 481,714/x
  3. Step 3: Cross multiply
    224,832x = 481,714 × 481,714
  4. Step 4: Simplify right side
    224,832x = 232,048,377,796
  5. Step 5: Solve for x
    x = 232,048,377,796/224,832
  6. Step 6: Final answer
    x = 1,032,096.76

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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.