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Finding the Third Proportional to 224,734 and 481,452

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Solution

The third proportional to 224,734 and 481,452 is: 1,031,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734 : 481,452 = 481,452 : x
  2. Step 2: Convert to fraction form
    224,734/481,452 = 481,452/x
  3. Step 3: Cross multiply
    224,734x = 481,452 × 481,452
  4. Step 4: Simplify right side
    224,734x = 231,796,028,304
  5. Step 5: Solve for x
    x = 231,796,028,304/224,734
  6. Step 6: Final answer
    x = 1,031,423.94

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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.