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Finding the Third Proportional to 379,384 and 793,831

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Solution

The third proportional to 379,384 and 793,831 is: 1,661,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,384 : 793,831 = 793,831 : x
  2. Step 2: Convert to fraction form
    379,384/793,831 = 793,831/x
  3. Step 3: Cross multiply
    379,384x = 793,831 × 793,831
  4. Step 4: Simplify right side
    379,384x = 630,167,656,561
  5. Step 5: Solve for x
    x = 630,167,656,561/379,384
  6. Step 6: Final answer
    x = 1,661,028.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.