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Finding the Third Proportional to 355,876 and 773,704

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Solution

The third proportional to 355,876 and 773,704 is: 1,682,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,876 : 773,704 = 773,704 : x
  2. Step 2: Convert to fraction form
    355,876/773,704 = 773,704/x
  3. Step 3: Cross multiply
    355,876x = 773,704 × 773,704
  4. Step 4: Simplify right side
    355,876x = 598,617,879,616
  5. Step 5: Solve for x
    x = 598,617,879,616/355,876
  6. Step 6: Final answer
    x = 1,682,096.80

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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.