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Finding the Third Proportional to 219,308.25 and 471,250.75

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Solution

The third proportional to 219,308.25 and 471,250.75 is: 1,012,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,308.25 : 471,250.75 = 471,250.75 : x
  2. Step 2: Convert to fraction form
    219,308.25/471,250.75 = 471,250.75/x
  3. Step 3: Cross multiply
    219,308.25x = 471,250.75 × 471,250.75
  4. Step 4: Simplify right side
    219,308.25x = 222,077,269,375.56
  5. Step 5: Solve for x
    x = 222,077,269,375.56/219,308.25
  6. Step 6: Final answer
    x = 1,012,626.15

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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.