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Finding the Third Proportional to 227,567 and 498,873

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Solution

The third proportional to 227,567 and 498,873 is: 1,093,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,567 : 498,873 = 498,873 : x
  2. Step 2: Convert to fraction form
    227,567/498,873 = 498,873/x
  3. Step 3: Cross multiply
    227,567x = 498,873 × 498,873
  4. Step 4: Simplify right side
    227,567x = 248,874,270,129
  5. Step 5: Solve for x
    x = 248,874,270,129/227,567
  6. Step 6: Final answer
    x = 1,093,630.76

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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.