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Finding the Third Proportional to 222,670 and 495,027

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Solution

The third proportional to 222,670 and 495,027 is: 1,100,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,670 : 495,027 = 495,027 : x
  2. Step 2: Convert to fraction form
    222,670/495,027 = 495,027/x
  3. Step 3: Cross multiply
    222,670x = 495,027 × 495,027
  4. Step 4: Simplify right side
    222,670x = 245,051,730,729
  5. Step 5: Solve for x
    x = 245,051,730,729/222,670
  6. Step 6: Final answer
    x = 1,100,515.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.