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Finding the Third Proportional to 351,903 and 768,314

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Solution

The third proportional to 351,903 and 768,314 is: 1,677,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,903 : 768,314 = 768,314 : x
  2. Step 2: Convert to fraction form
    351,903/768,314 = 768,314/x
  3. Step 3: Cross multiply
    351,903x = 768,314 × 768,314
  4. Step 4: Simplify right side
    351,903x = 590,306,402,596
  5. Step 5: Solve for x
    x = 590,306,402,596/351,903
  6. Step 6: Final answer
    x = 1,677,469.08

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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.