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Finding the Third Proportional to 294,234.75 and 623,778.75

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Solution

The third proportional to 294,234.75 and 623,778.75 is: 1,322,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,234.75 : 623,778.75 = 623,778.75 : x
  2. Step 2: Convert to fraction form
    294,234.75/623,778.75 = 623,778.75/x
  3. Step 3: Cross multiply
    294,234.75x = 623,778.75 × 623,778.75
  4. Step 4: Simplify right side
    294,234.75x = 389,099,928,951.56
  5. Step 5: Solve for x
    x = 389,099,928,951.56/294,234.75
  6. Step 6: Final answer
    x = 1,322,413.24

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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.