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Finding the Third Proportional to 597,864 and 888,279

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Solution

The third proportional to 597,864 and 888,279 is: 1,319,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,864 : 888,279 = 888,279 : x
  2. Step 2: Convert to fraction form
    597,864/888,279 = 888,279/x
  3. Step 3: Cross multiply
    597,864x = 888,279 × 888,279
  4. Step 4: Simplify right side
    597,864x = 789,039,581,841
  5. Step 5: Solve for x
    x = 789,039,581,841/597,864
  6. Step 6: Final answer
    x = 1,319,764.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.