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Finding the Third Proportional to 376,504 and 826,736

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Solution

The third proportional to 376,504 and 826,736 is: 1,815,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504 : 826,736 = 826,736 : x
  2. Step 2: Convert to fraction form
    376,504/826,736 = 826,736/x
  3. Step 3: Cross multiply
    376,504x = 826,736 × 826,736
  4. Step 4: Simplify right side
    376,504x = 683,492,413,696
  5. Step 5: Solve for x
    x = 683,492,413,696/376,504
  6. Step 6: Final answer
    x = 1,815,365.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.