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Finding the Third Proportional to 288,564 and 629,616

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Solution

The third proportional to 288,564 and 629,616 is: 1,373,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564 : 629,616 = 629,616 : x
  2. Step 2: Convert to fraction form
    288,564/629,616 = 629,616/x
  3. Step 3: Cross multiply
    288,564x = 629,616 × 629,616
  4. Step 4: Simplify right side
    288,564x = 396,416,307,456
  5. Step 5: Solve for x
    x = 396,416,307,456/288,564
  6. Step 6: Final answer
    x = 1,373,755.24

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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.