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Finding the Third Proportional to 227,512.50 and 489,907.50

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Solution

The third proportional to 227,512.50 and 489,907.50 is: 1,054,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,512.50 : 489,907.50 = 489,907.50 : x
  2. Step 2: Convert to fraction form
    227,512.50/489,907.50 = 489,907.50/x
  3. Step 3: Cross multiply
    227,512.50x = 489,907.50 × 489,907.50
  4. Step 4: Simplify right side
    227,512.50x = 240,009,358,556.25
  5. Step 5: Solve for x
    x = 240,009,358,556.25/227,512.50
  6. Step 6: Final answer
    x = 1,054,928.23

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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.