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Finding the Third Proportional to 351,838 and 768,194

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Solution

The third proportional to 351,838 and 768,194 is: 1,677,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,838 : 768,194 = 768,194 : x
  2. Step 2: Convert to fraction form
    351,838/768,194 = 768,194/x
  3. Step 3: Cross multiply
    351,838x = 768,194 × 768,194
  4. Step 4: Simplify right side
    351,838x = 590,122,021,636
  5. Step 5: Solve for x
    x = 590,122,021,636/351,838
  6. Step 6: Final answer
    x = 1,677,254.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.