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Finding the Third Proportional to 414,573 and 878,965.50

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Solution

The third proportional to 414,573 and 878,965.50 is: 1,863,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,573 : 878,965.50 = 878,965.50 : x
  2. Step 2: Convert to fraction form
    414,573/878,965.50 = 878,965.50/x
  3. Step 3: Cross multiply
    414,573x = 878,965.50 × 878,965.50
  4. Step 4: Simplify right side
    414,573x = 772,580,350,190.25
  5. Step 5: Solve for x
    x = 772,580,350,190.25/414,573
  6. Step 6: Final answer
    x = 1,863,556.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.