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Finding the Third Proportional to 220,086 and 463,812

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Solution

The third proportional to 220,086 and 463,812 is: 977,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,086 : 463,812 = 463,812 : x
  2. Step 2: Convert to fraction form
    220,086/463,812 = 463,812/x
  3. Step 3: Cross multiply
    220,086x = 463,812 × 463,812
  4. Step 4: Simplify right side
    220,086x = 215,121,571,344
  5. Step 5: Solve for x
    x = 215,121,571,344/220,086
  6. Step 6: Final answer
    x = 977,443.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.