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Finding the Third Proportional to 217,662 and 455,004

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Solution

The third proportional to 217,662 and 455,004 is: 951,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,662 : 455,004 = 455,004 : x
  2. Step 2: Convert to fraction form
    217,662/455,004 = 455,004/x
  3. Step 3: Cross multiply
    217,662x = 455,004 × 455,004
  4. Step 4: Simplify right side
    217,662x = 207,028,640,016
  5. Step 5: Solve for x
    x = 207,028,640,016/217,662
  6. Step 6: Final answer
    x = 951,147.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.