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Finding the Third Proportional to 224,405 and 483,802

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Solution

The third proportional to 224,405 and 483,802 is: 1,043,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,405 : 483,802 = 483,802 : x
  2. Step 2: Convert to fraction form
    224,405/483,802 = 483,802/x
  3. Step 3: Cross multiply
    224,405x = 483,802 × 483,802
  4. Step 4: Simplify right side
    224,405x = 234,064,375,204
  5. Step 5: Solve for x
    x = 234,064,375,204/224,405
  6. Step 6: Final answer
    x = 1,043,044.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.