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Finding the Third Proportional to 217,661 and 455,002

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Solution

The third proportional to 217,661 and 455,002 is: 951,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,661 : 455,002 = 455,002 : x
  2. Step 2: Convert to fraction form
    217,661/455,002 = 455,002/x
  3. Step 3: Cross multiply
    217,661x = 455,002 × 455,002
  4. Step 4: Simplify right side
    217,661x = 207,026,820,004
  5. Step 5: Solve for x
    x = 207,026,820,004/217,661
  6. Step 6: Final answer
    x = 951,143.38

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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.