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Finding the Third Proportional to 386,004 and 850,538

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Solution

The third proportional to 386,004 and 850,538 is: 1,874,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,004 : 850,538 = 850,538 : x
  2. Step 2: Convert to fraction form
    386,004/850,538 = 850,538/x
  3. Step 3: Cross multiply
    386,004x = 850,538 × 850,538
  4. Step 4: Simplify right side
    386,004x = 723,414,889,444
  5. Step 5: Solve for x
    x = 723,414,889,444/386,004
  6. Step 6: Final answer
    x = 1,874,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.