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Finding the Third Proportional to 222,746 and 467,362

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Solution

The third proportional to 222,746 and 467,362 is: 980,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,746 : 467,362 = 467,362 : x
  2. Step 2: Convert to fraction form
    222,746/467,362 = 467,362/x
  3. Step 3: Cross multiply
    222,746x = 467,362 × 467,362
  4. Step 4: Simplify right side
    222,746x = 218,427,239,044
  5. Step 5: Solve for x
    x = 218,427,239,044/222,746
  6. Step 6: Final answer
    x = 980,611.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.