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Finding the Third Proportional to 395,764 and 880,112

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Solution

The third proportional to 395,764 and 880,112 is: 1,957,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,764 : 880,112 = 880,112 : x
  2. Step 2: Convert to fraction form
    395,764/880,112 = 880,112/x
  3. Step 3: Cross multiply
    395,764x = 880,112 × 880,112
  4. Step 4: Simplify right side
    395,764x = 774,597,132,544
  5. Step 5: Solve for x
    x = 774,597,132,544/395,764
  6. Step 6: Final answer
    x = 1,957,219.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.