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Finding the Third Proportional to 227,845 and 498,600

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Solution

The third proportional to 227,845 and 498,600 is: 1,091,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,845 : 498,600 = 498,600 : x
  2. Step 2: Convert to fraction form
    227,845/498,600 = 498,600/x
  3. Step 3: Cross multiply
    227,845x = 498,600 × 498,600
  4. Step 4: Simplify right side
    227,845x = 248,601,960,000
  5. Step 5: Solve for x
    x = 248,601,960,000/227,845
  6. Step 6: Final answer
    x = 1,091,101.23

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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.