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Finding the Third Proportional to 213,960 and 451,796

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Solution

The third proportional to 213,960 and 451,796 is: 954,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,960 : 451,796 = 451,796 : x
  2. Step 2: Convert to fraction form
    213,960/451,796 = 451,796/x
  3. Step 3: Cross multiply
    213,960x = 451,796 × 451,796
  4. Step 4: Simplify right side
    213,960x = 204,119,625,616
  5. Step 5: Solve for x
    x = 204,119,625,616/213,960
  6. Step 6: Final answer
    x = 954,008.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.