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Finding the Third Proportional to 224,746.31 and 490,908.94

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Solution

The third proportional to 224,746.31 and 490,908.94 is: 1,072,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,746.31 : 490,908.94 = 490,908.94 : x
  2. Step 2: Convert to fraction form
    224,746.31/490,908.94 = 490,908.94/x
  3. Step 3: Cross multiply
    224,746.31x = 490,908.94 × 490,908.94
  4. Step 4: Simplify right side
    224,746.31x = 240,991,584,917.38
  5. Step 5: Solve for x
    x = 240,991,584,917.38/224,746.31
  6. Step 6: Final answer
    x = 1,072,282.71

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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.