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Finding the Third Proportional to 388,572 and 836,193

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Solution

The third proportional to 388,572 and 836,193 is: 1,799,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,572 : 836,193 = 836,193 : x
  2. Step 2: Convert to fraction form
    388,572/836,193 = 836,193/x
  3. Step 3: Cross multiply
    388,572x = 836,193 × 836,193
  4. Step 4: Simplify right side
    388,572x = 699,218,733,249
  5. Step 5: Solve for x
    x = 699,218,733,249/388,572
  6. Step 6: Final answer
    x = 1,799,457.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.