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Finding the Third Proportional to 368,817 and 796,683

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Solution

The third proportional to 368,817 and 796,683 is: 1,720,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,817 : 796,683 = 796,683 : x
  2. Step 2: Convert to fraction form
    368,817/796,683 = 796,683/x
  3. Step 3: Cross multiply
    368,817x = 796,683 × 796,683
  4. Step 4: Simplify right side
    368,817x = 634,703,802,489
  5. Step 5: Solve for x
    x = 634,703,802,489/368,817
  6. Step 6: Final answer
    x = 1,720,917.97

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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.