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Finding the Third Proportional to 224,803 and 481,493

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Solution

The third proportional to 224,803 and 481,493 is: 1,031,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803 : 481,493 = 481,493 : x
  2. Step 2: Convert to fraction form
    224,803/481,493 = 481,493/x
  3. Step 3: Cross multiply
    224,803x = 481,493 × 481,493
  4. Step 4: Simplify right side
    224,803x = 231,835,509,049
  5. Step 5: Solve for x
    x = 231,835,509,049/224,803
  6. Step 6: Final answer
    x = 1,031,282.99

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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.