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Finding the Third Proportional to 366,909 and 767,109

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Solution

The third proportional to 366,909 and 767,109 is: 1,603,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,909 : 767,109 = 767,109 : x
  2. Step 2: Convert to fraction form
    366,909/767,109 = 767,109/x
  3. Step 3: Cross multiply
    366,909x = 767,109 × 767,109
  4. Step 4: Simplify right side
    366,909x = 588,456,217,881
  5. Step 5: Solve for x
    x = 588,456,217,881/366,909
  6. Step 6: Final answer
    x = 1,603,820.61

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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.