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Finding the Third Proportional to 368,790 and 751,116

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Solution

The third proportional to 368,790 and 751,116 is: 1,529,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,790 : 751,116 = 751,116 : x
  2. Step 2: Convert to fraction form
    368,790/751,116 = 751,116/x
  3. Step 3: Cross multiply
    368,790x = 751,116 × 751,116
  4. Step 4: Simplify right side
    368,790x = 564,175,245,456
  5. Step 5: Solve for x
    x = 564,175,245,456/368,790
  6. Step 6: Final answer
    x = 1,529,800.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.