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Finding the Third Proportional to 417,728 and 857,589

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Solution

The third proportional to 417,728 and 857,589 is: 1,760,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,728 : 857,589 = 857,589 : x
  2. Step 2: Convert to fraction form
    417,728/857,589 = 857,589/x
  3. Step 3: Cross multiply
    417,728x = 857,589 × 857,589
  4. Step 4: Simplify right side
    417,728x = 735,458,892,921
  5. Step 5: Solve for x
    x = 735,458,892,921/417,728
  6. Step 6: Final answer
    x = 1,760,616.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.