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Finding the Third Proportional to 222,408 and 489,087.50

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Solution

The third proportional to 222,408 and 489,087.50 is: 1,075,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,408 : 489,087.50 = 489,087.50 : x
  2. Step 2: Convert to fraction form
    222,408/489,087.50 = 489,087.50/x
  3. Step 3: Cross multiply
    222,408x = 489,087.50 × 489,087.50
  4. Step 4: Simplify right side
    222,408x = 239,206,582,656.25
  5. Step 5: Solve for x
    x = 239,206,582,656.25/222,408
  6. Step 6: Final answer
    x = 1,075,530.48

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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.