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Finding the Third Proportional to 248,414 and 538,837

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Solution

The third proportional to 248,414 and 538,837 is: 1,168,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,414 : 538,837 = 538,837 : x
  2. Step 2: Convert to fraction form
    248,414/538,837 = 538,837/x
  3. Step 3: Cross multiply
    248,414x = 538,837 × 538,837
  4. Step 4: Simplify right side
    248,414x = 290,345,312,569
  5. Step 5: Solve for x
    x = 290,345,312,569/248,414
  6. Step 6: Final answer
    x = 1,168,796.09

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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.