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Finding the Third Proportional to 222,405.75 and 489,083.06

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Solution

The third proportional to 222,405.75 and 489,083.06 is: 1,075,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,405.75 : 489,083.06 = 489,083.06 : x
  2. Step 2: Convert to fraction form
    222,405.75/489,083.06 = 489,083.06/x
  3. Step 3: Cross multiply
    222,405.75x = 489,083.06 × 489,083.06
  4. Step 4: Simplify right side
    222,405.75x = 239,202,242,024.38
  5. Step 5: Solve for x
    x = 239,202,242,024.38/222,405.75
  6. Step 6: Final answer
    x = 1,075,521.84

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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.