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Finding the Third Proportional to 351,839 and 768,199

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Solution

The third proportional to 351,839 and 768,199 is: 1,677,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,839 : 768,199 = 768,199 : x
  2. Step 2: Convert to fraction form
    351,839/768,199 = 768,199/x
  3. Step 3: Cross multiply
    351,839x = 768,199 × 768,199
  4. Step 4: Simplify right side
    351,839x = 590,129,703,601
  5. Step 5: Solve for x
    x = 590,129,703,601/351,839
  6. Step 6: Final answer
    x = 1,677,272.00

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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.