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Finding the Third Proportional to 222,419.25 and 489,118.50

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Solution

The third proportional to 222,419.25 and 489,118.50 is: 1,075,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,419.25 : 489,118.50 = 489,118.50 : x
  2. Step 2: Convert to fraction form
    222,419.25/489,118.50 = 489,118.50/x
  3. Step 3: Cross multiply
    222,419.25x = 489,118.50 × 489,118.50
  4. Step 4: Simplify right side
    222,419.25x = 239,236,907,042.25
  5. Step 5: Solve for x
    x = 239,236,907,042.25/222,419.25
  6. Step 6: Final answer
    x = 1,075,612.42

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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.