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Finding the Third Proportional to 399,602 and 836,144

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Solution

The third proportional to 399,602 and 836,144 is: 1,749,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,602 : 836,144 = 836,144 : x
  2. Step 2: Convert to fraction form
    399,602/836,144 = 836,144/x
  3. Step 3: Cross multiply
    399,602x = 836,144 × 836,144
  4. Step 4: Simplify right side
    399,602x = 699,136,788,736
  5. Step 5: Solve for x
    x = 699,136,788,736/399,602
  6. Step 6: Final answer
    x = 1,749,582.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.