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Finding the Third Proportional to 219,506 and 445,067

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Solution

The third proportional to 219,506 and 445,067 is: 902,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,506 : 445,067 = 445,067 : x
  2. Step 2: Convert to fraction form
    219,506/445,067 = 445,067/x
  3. Step 3: Cross multiply
    219,506x = 445,067 × 445,067
  4. Step 4: Simplify right side
    219,506x = 198,084,634,489
  5. Step 5: Solve for x
    x = 198,084,634,489/219,506
  6. Step 6: Final answer
    x = 902,411.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.