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Finding the Third Proportional to 225,627 and 481,278

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Solution

The third proportional to 225,627 and 481,278 is: 1,026,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,627 : 481,278 = 481,278 : x
  2. Step 2: Convert to fraction form
    225,627/481,278 = 481,278/x
  3. Step 3: Cross multiply
    225,627x = 481,278 × 481,278
  4. Step 4: Simplify right side
    225,627x = 231,628,513,284
  5. Step 5: Solve for x
    x = 231,628,513,284/225,627
  6. Step 6: Final answer
    x = 1,026,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.