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Finding the Third Proportional to 300,924 and 655,794

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Solution

The third proportional to 300,924 and 655,794 is: 1,429,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,924 : 655,794 = 655,794 : x
  2. Step 2: Convert to fraction form
    300,924/655,794 = 655,794/x
  3. Step 3: Cross multiply
    300,924x = 655,794 × 655,794
  4. Step 4: Simplify right side
    300,924x = 430,065,770,436
  5. Step 5: Solve for x
    x = 430,065,770,436/300,924
  6. Step 6: Final answer
    x = 1,429,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.