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Finding the Third Proportional to 368,981 and 796,099

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Solution

The third proportional to 368,981 and 796,099 is: 1,717,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,981 : 796,099 = 796,099 : x
  2. Step 2: Convert to fraction form
    368,981/796,099 = 796,099/x
  3. Step 3: Cross multiply
    368,981x = 796,099 × 796,099
  4. Step 4: Simplify right side
    368,981x = 633,773,617,801
  5. Step 5: Solve for x
    x = 633,773,617,801/368,981
  6. Step 6: Final answer
    x = 1,717,632.12

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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.