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Finding the Third Proportional to 222,936 and 480,000

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Solution

The third proportional to 222,936 and 480,000 is: 1,033,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,936 : 480,000 = 480,000 : x
  2. Step 2: Convert to fraction form
    222,936/480,000 = 480,000/x
  3. Step 3: Cross multiply
    222,936x = 480,000 × 480,000
  4. Step 4: Simplify right side
    222,936x = 230,400,000,000
  5. Step 5: Solve for x
    x = 230,400,000,000/222,936
  6. Step 6: Final answer
    x = 1,033,480.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.