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Finding the Third Proportional to 366,949 and 767,189

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Solution

The third proportional to 366,949 and 767,189 is: 1,603,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,949 : 767,189 = 767,189 : x
  2. Step 2: Convert to fraction form
    366,949/767,189 = 767,189/x
  3. Step 3: Cross multiply
    366,949x = 767,189 × 767,189
  4. Step 4: Simplify right side
    366,949x = 588,578,961,721
  5. Step 5: Solve for x
    x = 588,578,961,721/366,949
  6. Step 6: Final answer
    x = 1,603,980.29

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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.