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Finding the Third Proportional to 227,908 and 488,930

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Solution

The third proportional to 227,908 and 488,930 is: 1,048,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,908 : 488,930 = 488,930 : x
  2. Step 2: Convert to fraction form
    227,908/488,930 = 488,930/x
  3. Step 3: Cross multiply
    227,908x = 488,930 × 488,930
  4. Step 4: Simplify right side
    227,908x = 239,052,544,900
  5. Step 5: Solve for x
    x = 239,052,544,900/227,908
  6. Step 6: Final answer
    x = 1,048,899.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.