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Finding the Third Proportional to 222,963 and 488,217

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Solution

The third proportional to 222,963 and 488,217 is: 1,069,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,963 : 488,217 = 488,217 : x
  2. Step 2: Convert to fraction form
    222,963/488,217 = 488,217/x
  3. Step 3: Cross multiply
    222,963x = 488,217 × 488,217
  4. Step 4: Simplify right side
    222,963x = 238,355,839,089
  5. Step 5: Solve for x
    x = 238,355,839,089/222,963
  6. Step 6: Final answer
    x = 1,069,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.