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Finding the Third Proportional to 248,028 and 538,338

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Solution

The third proportional to 248,028 and 538,338 is: 1,168,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,028 : 538,338 = 538,338 : x
  2. Step 2: Convert to fraction form
    248,028/538,338 = 538,338/x
  3. Step 3: Cross multiply
    248,028x = 538,338 × 538,338
  4. Step 4: Simplify right side
    248,028x = 289,807,802,244
  5. Step 5: Solve for x
    x = 289,807,802,244/248,028
  6. Step 6: Final answer
    x = 1,168,447.93

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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.