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Finding the Third Proportional to 222,433 and 489,146

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Solution

The third proportional to 222,433 and 489,146 is: 1,075,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,433 : 489,146 = 489,146 : x
  2. Step 2: Convert to fraction form
    222,433/489,146 = 489,146/x
  3. Step 3: Cross multiply
    222,433x = 489,146 × 489,146
  4. Step 4: Simplify right side
    222,433x = 239,263,809,316
  5. Step 5: Solve for x
    x = 239,263,809,316/222,433
  6. Step 6: Final answer
    x = 1,075,666.87

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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.