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Finding the Third Proportional to 222,046 and 481,532

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Solution

The third proportional to 222,046 and 481,532 is: 1,044,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,046 : 481,532 = 481,532 : x
  2. Step 2: Convert to fraction form
    222,046/481,532 = 481,532/x
  3. Step 3: Cross multiply
    222,046x = 481,532 × 481,532
  4. Step 4: Simplify right side
    222,046x = 231,873,067,024
  5. Step 5: Solve for x
    x = 231,873,067,024/222,046
  6. Step 6: Final answer
    x = 1,044,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.