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Finding the Third Proportional to 366,945 and 767,181

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Solution

The third proportional to 366,945 and 767,181 is: 1,603,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,945 : 767,181 = 767,181 : x
  2. Step 2: Convert to fraction form
    366,945/767,181 = 767,181/x
  3. Step 3: Cross multiply
    366,945x = 767,181 × 767,181
  4. Step 4: Simplify right side
    366,945x = 588,566,686,761
  5. Step 5: Solve for x
    x = 588,566,686,761/366,945
  6. Step 6: Final answer
    x = 1,603,964.32

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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.