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Finding the Third Proportional to 222,392.46 and 476,962.80

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Solution

The third proportional to 222,392.46 and 476,962.80 is: 1,022,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,392.46 : 476,962.80 = 476,962.80 : x
  2. Step 2: Convert to fraction form
    222,392.46/476,962.80 = 476,962.80/x
  3. Step 3: Cross multiply
    222,392.46x = 476,962.80 × 476,962.80
  4. Step 4: Simplify right side
    222,392.46x = 227,493,517,055.37
  5. Step 5: Solve for x
    x = 227,493,517,055.37/222,392.46
  6. Step 6: Final answer
    x = 1,022,937.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.