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Finding the Third Proportional to 299,804 and 642,112

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Solution

The third proportional to 299,804 and 642,112 is: 1,375,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,804 : 642,112 = 642,112 : x
  2. Step 2: Convert to fraction form
    299,804/642,112 = 642,112/x
  3. Step 3: Cross multiply
    299,804x = 642,112 × 642,112
  4. Step 4: Simplify right side
    299,804x = 412,307,820,544
  5. Step 5: Solve for x
    x = 412,307,820,544/299,804
  6. Step 6: Final answer
    x = 1,375,257.90

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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.