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Finding the Third Proportional to 222,820 and 463,997

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Solution

The third proportional to 222,820 and 463,997 is: 966,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,820 : 463,997 = 463,997 : x
  2. Step 2: Convert to fraction form
    222,820/463,997 = 463,997/x
  3. Step 3: Cross multiply
    222,820x = 463,997 × 463,997
  4. Step 4: Simplify right side
    222,820x = 215,293,216,009
  5. Step 5: Solve for x
    x = 215,293,216,009/222,820
  6. Step 6: Final answer
    x = 966,220.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.