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Finding the Third Proportional to 366,943 and 767,177

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Solution

The third proportional to 366,943 and 767,177 is: 1,603,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,943 : 767,177 = 767,177 : x
  2. Step 2: Convert to fraction form
    366,943/767,177 = 767,177/x
  3. Step 3: Cross multiply
    366,943x = 767,177 × 767,177
  4. Step 4: Simplify right side
    366,943x = 588,560,549,329
  5. Step 5: Solve for x
    x = 588,560,549,329/366,943
  6. Step 6: Final answer
    x = 1,603,956.33

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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.