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Finding the Third Proportional to 231,832 and 488,986

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Solution

The third proportional to 231,832 and 488,986 is: 1,031,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832 : 488,986 = 488,986 : x
  2. Step 2: Convert to fraction form
    231,832/488,986 = 488,986/x
  3. Step 3: Cross multiply
    231,832x = 488,986 × 488,986
  4. Step 4: Simplify right side
    231,832x = 239,107,308,196
  5. Step 5: Solve for x
    x = 239,107,308,196/231,832
  6. Step 6: Final answer
    x = 1,031,381.81

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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.