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Finding the Third Proportional to 411,100.31 and 905,235.75

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Solution

The third proportional to 411,100.31 and 905,235.75 is: 1,993,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,100.31 : 905,235.75 = 905,235.75 : x
  2. Step 2: Convert to fraction form
    411,100.31/905,235.75 = 905,235.75/x
  3. Step 3: Cross multiply
    411,100.31x = 905,235.75 × 905,235.75
  4. Step 4: Simplify right side
    411,100.31x = 819,451,763,078.06
  5. Step 5: Solve for x
    x = 819,451,763,078.06/411,100.31
  6. Step 6: Final answer
    x = 1,993,313.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.