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Finding the Third Proportional to 219,198 and 471,660

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Solution

The third proportional to 219,198 and 471,660 is: 1,014,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,198 : 471,660 = 471,660 : x
  2. Step 2: Convert to fraction form
    219,198/471,660 = 471,660/x
  3. Step 3: Cross multiply
    219,198x = 471,660 × 471,660
  4. Step 4: Simplify right side
    219,198x = 222,463,155,600
  5. Step 5: Solve for x
    x = 222,463,155,600/219,198
  6. Step 6: Final answer
    x = 1,014,895.92

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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.