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Finding the Third Proportional to 350,636 and 744,956

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Solution

The third proportional to 350,636 and 744,956 is: 1,582,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,636 : 744,956 = 744,956 : x
  2. Step 2: Convert to fraction form
    350,636/744,956 = 744,956/x
  3. Step 3: Cross multiply
    350,636x = 744,956 × 744,956
  4. Step 4: Simplify right side
    350,636x = 554,959,441,936
  5. Step 5: Solve for x
    x = 554,959,441,936/350,636
  6. Step 6: Final answer
    x = 1,582,722.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.