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Finding the Third Proportional to 231,840 and 488,592

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Solution

The third proportional to 231,840 and 488,592 is: 1,029,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,840 : 488,592 = 488,592 : x
  2. Step 2: Convert to fraction form
    231,840/488,592 = 488,592/x
  3. Step 3: Cross multiply
    231,840x = 488,592 × 488,592
  4. Step 4: Simplify right side
    231,840x = 238,722,142,464
  5. Step 5: Solve for x
    x = 238,722,142,464/231,840
  6. Step 6: Final answer
    x = 1,029,684.88

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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.