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Finding the Third Proportional to 778,272.75 and 994,452.75

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Solution

The third proportional to 778,272.75 and 994,452.75 is: 1,270,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,272.75 : 994,452.75 = 994,452.75 : x
  2. Step 2: Convert to fraction form
    778,272.75/994,452.75 = 994,452.75/x
  3. Step 3: Cross multiply
    778,272.75x = 994,452.75 × 994,452.75
  4. Step 4: Simplify right side
    778,272.75x = 988,936,271,982.56
  5. Step 5: Solve for x
    x = 988,936,271,982.56/778,272.75
  6. Step 6: Final answer
    x = 1,270,680.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.