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Finding the Third Proportional to 380,334 and 826,341

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Solution

The third proportional to 380,334 and 826,341 is: 1,795,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,334 : 826,341 = 826,341 : x
  2. Step 2: Convert to fraction form
    380,334/826,341 = 826,341/x
  3. Step 3: Cross multiply
    380,334x = 826,341 × 826,341
  4. Step 4: Simplify right side
    380,334x = 682,839,448,281
  5. Step 5: Solve for x
    x = 682,839,448,281/380,334
  6. Step 6: Final answer
    x = 1,795,367.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.