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Finding the Third Proportional to 222,912 and 476,064

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Solution

The third proportional to 222,912 and 476,064 is: 1,016,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,912 : 476,064 = 476,064 : x
  2. Step 2: Convert to fraction form
    222,912/476,064 = 476,064/x
  3. Step 3: Cross multiply
    222,912x = 476,064 × 476,064
  4. Step 4: Simplify right side
    222,912x = 226,636,932,096
  5. Step 5: Solve for x
    x = 226,636,932,096/222,912
  6. Step 6: Final answer
    x = 1,016,710.33

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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.