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Finding the Third Proportional to 231,862 and 488,630

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Solution

The third proportional to 231,862 and 488,630 is: 1,029,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,862 : 488,630 = 488,630 : x
  2. Step 2: Convert to fraction form
    231,862/488,630 = 488,630/x
  3. Step 3: Cross multiply
    231,862x = 488,630 × 488,630
  4. Step 4: Simplify right side
    231,862x = 238,759,276,900
  5. Step 5: Solve for x
    x = 238,759,276,900/231,862
  6. Step 6: Final answer
    x = 1,029,747.34

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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.