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Finding the Third Proportional to 351,837 and 768,195

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Solution

The third proportional to 351,837 and 768,195 is: 1,677,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,837 : 768,195 = 768,195 : x
  2. Step 2: Convert to fraction form
    351,837/768,195 = 768,195/x
  3. Step 3: Cross multiply
    351,837x = 768,195 × 768,195
  4. Step 4: Simplify right side
    351,837x = 590,123,558,025
  5. Step 5: Solve for x
    x = 590,123,558,025/351,837
  6. Step 6: Final answer
    x = 1,677,264.07

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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.