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Finding the Third Proportional to 214,947 and 467,216

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Solution

The third proportional to 214,947 and 467,216 is: 1,015,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,947 : 467,216 = 467,216 : x
  2. Step 2: Convert to fraction form
    214,947/467,216 = 467,216/x
  3. Step 3: Cross multiply
    214,947x = 467,216 × 467,216
  4. Step 4: Simplify right side
    214,947x = 218,290,790,656
  5. Step 5: Solve for x
    x = 218,290,790,656/214,947
  6. Step 6: Final answer
    x = 1,015,556.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.