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Finding the Third Proportional to 231,814 and 488,950

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Solution

The third proportional to 231,814 and 488,950 is: 1,031,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,814 : 488,950 = 488,950 : x
  2. Step 2: Convert to fraction form
    231,814/488,950 = 488,950/x
  3. Step 3: Cross multiply
    231,814x = 488,950 × 488,950
  4. Step 4: Simplify right side
    231,814x = 239,072,102,500
  5. Step 5: Solve for x
    x = 239,072,102,500/231,814
  6. Step 6: Final answer
    x = 1,031,310.03

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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.