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Finding the Third Proportional to 366,923 and 788,099

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Solution

The third proportional to 366,923 and 788,099 is: 1,692,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,923 : 788,099 = 788,099 : x
  2. Step 2: Convert to fraction form
    366,923/788,099 = 788,099/x
  3. Step 3: Cross multiply
    366,923x = 788,099 × 788,099
  4. Step 4: Simplify right side
    366,923x = 621,100,033,801
  5. Step 5: Solve for x
    x = 621,100,033,801/366,923
  6. Step 6: Final answer
    x = 1,692,725.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.