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Finding the Third Proportional to 222,370 and 489,023

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Solution

The third proportional to 222,370 and 489,023 is: 1,075,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370 : 489,023 = 489,023 : x
  2. Step 2: Convert to fraction form
    222,370/489,023 = 489,023/x
  3. Step 3: Cross multiply
    222,370x = 489,023 × 489,023
  4. Step 4: Simplify right side
    222,370x = 239,143,494,529
  5. Step 5: Solve for x
    x = 239,143,494,529/222,370
  6. Step 6: Final answer
    x = 1,075,430.56

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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.