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Finding the Third Proportional to 350,288 and 768,364

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Solution

The third proportional to 350,288 and 768,364 is: 1,685,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,288 : 768,364 = 768,364 : x
  2. Step 2: Convert to fraction form
    350,288/768,364 = 768,364/x
  3. Step 3: Cross multiply
    350,288x = 768,364 × 768,364
  4. Step 4: Simplify right side
    350,288x = 590,383,236,496
  5. Step 5: Solve for x
    x = 590,383,236,496/350,288
  6. Step 6: Final answer
    x = 1,685,422.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.