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Finding the Third Proportional to 381,833 and 754,029

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Solution

The third proportional to 381,833 and 754,029 is: 1,489,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,833 : 754,029 = 754,029 : x
  2. Step 2: Convert to fraction form
    381,833/754,029 = 754,029/x
  3. Step 3: Cross multiply
    381,833x = 754,029 × 754,029
  4. Step 4: Simplify right side
    381,833x = 568,559,732,841
  5. Step 5: Solve for x
    x = 568,559,732,841/381,833
  6. Step 6: Final answer
    x = 1,489,027.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.