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Finding the Third Proportional to 281,413.75 and 421,350.75

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Solution

The third proportional to 281,413.75 and 421,350.75 is: 630,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,413.75 : 421,350.75 = 421,350.75 : x
  2. Step 2: Convert to fraction form
    281,413.75/421,350.75 = 421,350.75/x
  3. Step 3: Cross multiply
    281,413.75x = 421,350.75 × 421,350.75
  4. Step 4: Simplify right side
    281,413.75x = 177,536,454,525.56
  5. Step 5: Solve for x
    x = 177,536,454,525.56/281,413.75
  6. Step 6: Final answer
    x = 630,873.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.