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Finding the Third Proportional to 331,664 and 779,589

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Solution

The third proportional to 331,664 and 779,589 is: 1,832,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,664 : 779,589 = 779,589 : x
  2. Step 2: Convert to fraction form
    331,664/779,589 = 779,589/x
  3. Step 3: Cross multiply
    331,664x = 779,589 × 779,589
  4. Step 4: Simplify right side
    331,664x = 607,759,008,921
  5. Step 5: Solve for x
    x = 607,759,008,921/331,664
  6. Step 6: Final answer
    x = 1,832,453.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.