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Finding the Third Proportional to 224,872 and 481,622

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Solution

The third proportional to 224,872 and 481,622 is: 1,031,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,872 : 481,622 = 481,622 : x
  2. Step 2: Convert to fraction form
    224,872/481,622 = 481,622/x
  3. Step 3: Cross multiply
    224,872x = 481,622 × 481,622
  4. Step 4: Simplify right side
    224,872x = 231,959,750,884
  5. Step 5: Solve for x
    x = 231,959,750,884/224,872
  6. Step 6: Final answer
    x = 1,031,519.05

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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.