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Finding the Third Proportional to 350,505 and 744,762

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Solution

The third proportional to 350,505 and 744,762 is: 1,582,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,505 : 744,762 = 744,762 : x
  2. Step 2: Convert to fraction form
    350,505/744,762 = 744,762/x
  3. Step 3: Cross multiply
    350,505x = 744,762 × 744,762
  4. Step 4: Simplify right side
    350,505x = 554,670,436,644
  5. Step 5: Solve for x
    x = 554,670,436,644/350,505
  6. Step 6: Final answer
    x = 1,582,489.37

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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.