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Finding the Third Proportional to 222,300 and 485,420

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Solution

The third proportional to 222,300 and 485,420 is: 1,059,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,300 : 485,420 = 485,420 : x
  2. Step 2: Convert to fraction form
    222,300/485,420 = 485,420/x
  3. Step 3: Cross multiply
    222,300x = 485,420 × 485,420
  4. Step 4: Simplify right side
    222,300x = 235,632,576,400
  5. Step 5: Solve for x
    x = 235,632,576,400/222,300
  6. Step 6: Final answer
    x = 1,059,975.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.