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Finding the Third Proportional to 222,482 and 460,734

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Solution

The third proportional to 222,482 and 460,734 is: 954,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,482 : 460,734 = 460,734 : x
  2. Step 2: Convert to fraction form
    222,482/460,734 = 460,734/x
  3. Step 3: Cross multiply
    222,482x = 460,734 × 460,734
  4. Step 4: Simplify right side
    222,482x = 212,275,818,756
  5. Step 5: Solve for x
    x = 212,275,818,756/222,482
  6. Step 6: Final answer
    x = 954,125.81

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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.