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Finding the Third Proportional to 248,022 and 538,326

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Solution

The third proportional to 248,022 and 538,326 is: 1,168,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,022 : 538,326 = 538,326 : x
  2. Step 2: Convert to fraction form
    248,022/538,326 = 538,326/x
  3. Step 3: Cross multiply
    248,022x = 538,326 × 538,326
  4. Step 4: Simplify right side
    248,022x = 289,794,882,276
  5. Step 5: Solve for x
    x = 289,794,882,276/248,022
  6. Step 6: Final answer
    x = 1,168,424.10

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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.