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Finding the Third Proportional to 224.38 and 490.63

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Solution

The third proportional to 224.38 and 490.63 is: 1,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.38 : 490.63 = 490.63 : x
  2. Step 2: Convert to fraction form
    224.38/490.63 = 490.63/x
  3. Step 3: Cross multiply
    224.38x = 490.63 × 490.63
  4. Step 4: Simplify right side
    224.38x = 240,712.89
  5. Step 5: Solve for x
    x = 240,712.89/224.38
  6. Step 6: Final answer
    x = 1,072.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.