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Finding the Third Proportional to 231,796 and 488,913

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Solution

The third proportional to 231,796 and 488,913 is: 1,031,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,796 : 488,913 = 488,913 : x
  2. Step 2: Convert to fraction form
    231,796/488,913 = 488,913/x
  3. Step 3: Cross multiply
    231,796x = 488,913 × 488,913
  4. Step 4: Simplify right side
    231,796x = 239,035,921,569
  5. Step 5: Solve for x
    x = 239,035,921,569/231,796
  6. Step 6: Final answer
    x = 1,031,234.02

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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.