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Finding the Third Proportional to 291,636 and 628,794

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Solution

The third proportional to 291,636 and 628,794 is: 1,355,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,636 : 628,794 = 628,794 : x
  2. Step 2: Convert to fraction form
    291,636/628,794 = 628,794/x
  3. Step 3: Cross multiply
    291,636x = 628,794 × 628,794
  4. Step 4: Simplify right side
    291,636x = 395,381,894,436
  5. Step 5: Solve for x
    x = 395,381,894,436/291,636
  6. Step 6: Final answer
    x = 1,355,737.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.