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Finding the Third Proportional to 222,433 and 489,145

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Solution

The third proportional to 222,433 and 489,145 is: 1,075,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,433 : 489,145 = 489,145 : x
  2. Step 2: Convert to fraction form
    222,433/489,145 = 489,145/x
  3. Step 3: Cross multiply
    222,433x = 489,145 × 489,145
  4. Step 4: Simplify right side
    222,433x = 239,262,831,025
  5. Step 5: Solve for x
    x = 239,262,831,025/222,433
  6. Step 6: Final answer
    x = 1,075,662.47

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Why These Related Problems?

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