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Finding the Third Proportional to 222,496 and 460,763

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Solution

The third proportional to 222,496 and 460,763 is: 954,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,496 : 460,763 = 460,763 : x
  2. Step 2: Convert to fraction form
    222,496/460,763 = 460,763/x
  3. Step 3: Cross multiply
    222,496x = 460,763 × 460,763
  4. Step 4: Simplify right side
    222,496x = 212,302,542,169
  5. Step 5: Solve for x
    x = 212,302,542,169/222,496
  6. Step 6: Final answer
    x = 954,185.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.