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Finding the Third Proportional to 231,858 and 488,622

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Solution

The third proportional to 231,858 and 488,622 is: 1,029,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,858 : 488,622 = 488,622 : x
  2. Step 2: Convert to fraction form
    231,858/488,622 = 488,622/x
  3. Step 3: Cross multiply
    231,858x = 488,622 × 488,622
  4. Step 4: Simplify right side
    231,858x = 238,751,458,884
  5. Step 5: Solve for x
    x = 238,751,458,884/231,858
  6. Step 6: Final answer
    x = 1,029,731.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.