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Finding the Third Proportional to 299,716 and 642,182

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Solution

The third proportional to 299,716 and 642,182 is: 1,375,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,716 : 642,182 = 642,182 : x
  2. Step 2: Convert to fraction form
    299,716/642,182 = 642,182/x
  3. Step 3: Cross multiply
    299,716x = 642,182 × 642,182
  4. Step 4: Simplify right side
    299,716x = 412,397,721,124
  5. Step 5: Solve for x
    x = 412,397,721,124/299,716
  6. Step 6: Final answer
    x = 1,375,961.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.