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Finding the Third Proportional to 410,350 and 926,067

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Solution

The third proportional to 410,350 and 926,067 is: 2,089,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,350 : 926,067 = 926,067 : x
  2. Step 2: Convert to fraction form
    410,350/926,067 = 926,067/x
  3. Step 3: Cross multiply
    410,350x = 926,067 × 926,067
  4. Step 4: Simplify right side
    410,350x = 857,600,088,489
  5. Step 5: Solve for x
    x = 857,600,088,489/410,350
  6. Step 6: Final answer
    x = 2,089,923.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.