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Finding the Third Proportional to 219,067 and 470,851

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Solution

The third proportional to 219,067 and 470,851 is: 1,012,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067 : 470,851 = 470,851 : x
  2. Step 2: Convert to fraction form
    219,067/470,851 = 470,851/x
  3. Step 3: Cross multiply
    219,067x = 470,851 × 470,851
  4. Step 4: Simplify right side
    219,067x = 221,700,664,201
  5. Step 5: Solve for x
    x = 221,700,664,201/219,067
  6. Step 6: Final answer
    x = 1,012,022.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.