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Finding the Third Proportional to 227,857 and 498,622

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Solution

The third proportional to 227,857 and 498,622 is: 1,091,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,857 : 498,622 = 498,622 : x
  2. Step 2: Convert to fraction form
    227,857/498,622 = 498,622/x
  3. Step 3: Cross multiply
    227,857x = 498,622 × 498,622
  4. Step 4: Simplify right side
    227,857x = 248,623,898,884
  5. Step 5: Solve for x
    x = 248,623,898,884/227,857
  6. Step 6: Final answer
    x = 1,091,140.05

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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.