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Finding the Third Proportional to 222,812 and 463,984

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Solution

The third proportional to 222,812 and 463,984 is: 966,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,812 : 463,984 = 463,984 : x
  2. Step 2: Convert to fraction form
    222,812/463,984 = 463,984/x
  3. Step 3: Cross multiply
    222,812x = 463,984 × 463,984
  4. Step 4: Simplify right side
    222,812x = 215,281,152,256
  5. Step 5: Solve for x
    x = 215,281,152,256/222,812
  6. Step 6: Final answer
    x = 966,200.89

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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.