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Finding the Third Proportional to 288,696 and 629,856

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Solution

The third proportional to 288,696 and 629,856 is: 1,374,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,696 : 629,856 = 629,856 : x
  2. Step 2: Convert to fraction form
    288,696/629,856 = 629,856/x
  3. Step 3: Cross multiply
    288,696x = 629,856 × 629,856
  4. Step 4: Simplify right side
    288,696x = 396,718,580,736
  5. Step 5: Solve for x
    x = 396,718,580,736/288,696
  6. Step 6: Final answer
    x = 1,374,174.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.