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Finding the Third Proportional to 351,788 and 768,092

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Solution

The third proportional to 351,788 and 768,092 is: 1,677,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,788 : 768,092 = 768,092 : x
  2. Step 2: Convert to fraction form
    351,788/768,092 = 768,092/x
  3. Step 3: Cross multiply
    351,788x = 768,092 × 768,092
  4. Step 4: Simplify right side
    351,788x = 589,965,320,464
  5. Step 5: Solve for x
    x = 589,965,320,464/351,788
  6. Step 6: Final answer
    x = 1,677,047.88

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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.