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Finding the Third Proportional to 222,370 and 489,022

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Solution

The third proportional to 222,370 and 489,022 is: 1,075,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370 : 489,022 = 489,022 : x
  2. Step 2: Convert to fraction form
    222,370/489,022 = 489,022/x
  3. Step 3: Cross multiply
    222,370x = 489,022 × 489,022
  4. Step 4: Simplify right side
    222,370x = 239,142,516,484
  5. Step 5: Solve for x
    x = 239,142,516,484/222,370
  6. Step 6: Final answer
    x = 1,075,426.17

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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.