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Finding the Third Proportional to 248,067 and 543,417

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Solution

The third proportional to 248,067 and 543,417 is: 1,190,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,067 : 543,417 = 543,417 : x
  2. Step 2: Convert to fraction form
    248,067/543,417 = 543,417/x
  3. Step 3: Cross multiply
    248,067x = 543,417 × 543,417
  4. Step 4: Simplify right side
    248,067x = 295,302,035,889
  5. Step 5: Solve for x
    x = 295,302,035,889/248,067
  6. Step 6: Final answer
    x = 1,190,412.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.