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Finding the Third Proportional to 368,967 and 796,072

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Solution

The third proportional to 368,967 and 796,072 is: 1,717,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,967 : 796,072 = 796,072 : x
  2. Step 2: Convert to fraction form
    368,967/796,072 = 796,072/x
  3. Step 3: Cross multiply
    368,967x = 796,072 × 796,072
  4. Step 4: Simplify right side
    368,967x = 633,730,629,184
  5. Step 5: Solve for x
    x = 633,730,629,184/368,967
  6. Step 6: Final answer
    x = 1,717,580.78

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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.