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Finding the Third Proportional to 222,436.50 and 489,152.50

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Solution

The third proportional to 222,436.50 and 489,152.50 is: 1,075,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,436.50 : 489,152.50 = 489,152.50 : x
  2. Step 2: Convert to fraction form
    222,436.50/489,152.50 = 489,152.50/x
  3. Step 3: Cross multiply
    222,436.50x = 489,152.50 × 489,152.50
  4. Step 4: Simplify right side
    222,436.50x = 239,270,168,256.25
  5. Step 5: Solve for x
    x = 239,270,168,256.25/222,436.50
  6. Step 6: Final answer
    x = 1,075,678.53

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