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Finding the Third Proportional to 227,857 and 498,602

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Solution

The third proportional to 227,857 and 498,602 is: 1,091,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,857 : 498,602 = 498,602 : x
  2. Step 2: Convert to fraction form
    227,857/498,602 = 498,602/x
  3. Step 3: Cross multiply
    227,857x = 498,602 × 498,602
  4. Step 4: Simplify right side
    227,857x = 248,603,954,404
  5. Step 5: Solve for x
    x = 248,603,954,404/227,857
  6. Step 6: Final answer
    x = 1,091,052.52

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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.