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Finding the Third Proportional to 224,621.44 and 490,694.63

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Solution

The third proportional to 224,621.44 and 490,694.63 is: 1,071,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,621.44 : 490,694.63 = 490,694.63 : x
  2. Step 2: Convert to fraction form
    224,621.44/490,694.63 = 490,694.63/x
  3. Step 3: Cross multiply
    224,621.44x = 490,694.63 × 490,694.63
  4. Step 4: Simplify right side
    224,621.44x = 240,781,215,003.89
  5. Step 5: Solve for x
    x = 240,781,215,003.89/224,621.44
  6. Step 6: Final answer
    x = 1,071,942.28

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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.