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Finding the Third Proportional to 384,533.25 and 828,207.75

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Solution

The third proportional to 384,533.25 and 828,207.75 is: 1,783,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,533.25 : 828,207.75 = 828,207.75 : x
  2. Step 2: Convert to fraction form
    384,533.25/828,207.75 = 828,207.75/x
  3. Step 3: Cross multiply
    384,533.25x = 828,207.75 × 828,207.75
  4. Step 4: Simplify right side
    384,533.25x = 685,928,077,160.06
  5. Step 5: Solve for x
    x = 685,928,077,160.06/384,533.25
  6. Step 6: Final answer
    x = 1,783,793.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.