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Finding the Third Proportional to 379,380 and 793,833

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Solution

The third proportional to 379,380 and 793,833 is: 1,661,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,380 : 793,833 = 793,833 : x
  2. Step 2: Convert to fraction form
    379,380/793,833 = 793,833/x
  3. Step 3: Cross multiply
    379,380x = 793,833 × 793,833
  4. Step 4: Simplify right side
    379,380x = 630,170,831,889
  5. Step 5: Solve for x
    x = 630,170,831,889/379,380
  6. Step 6: Final answer
    x = 1,661,054.44

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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.