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Finding the Third Proportional to 395,760 and 880,104

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Solution

The third proportional to 395,760 and 880,104 is: 1,957,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,760 : 880,104 = 880,104 : x
  2. Step 2: Convert to fraction form
    395,760/880,104 = 880,104/x
  3. Step 3: Cross multiply
    395,760x = 880,104 × 880,104
  4. Step 4: Simplify right side
    395,760x = 774,583,050,816
  5. Step 5: Solve for x
    x = 774,583,050,816/395,760
  6. Step 6: Final answer
    x = 1,957,203.99

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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.