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Finding the Third Proportional to 213,279.75 and 464,220.75

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Solution

The third proportional to 213,279.75 and 464,220.75 is: 1,010,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,279.75 : 464,220.75 = 464,220.75 : x
  2. Step 2: Convert to fraction form
    213,279.75/464,220.75 = 464,220.75/x
  3. Step 3: Cross multiply
    213,279.75x = 464,220.75 × 464,220.75
  4. Step 4: Simplify right side
    213,279.75x = 215,500,904,730.56
  5. Step 5: Solve for x
    x = 215,500,904,730.56/213,279.75
  6. Step 6: Final answer
    x = 1,010,414.28

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