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Finding the Third Proportional to 325,986 and 498,667

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Solution

The third proportional to 325,986 and 498,667 is: 762,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,986 : 498,667 = 498,667 : x
  2. Step 2: Convert to fraction form
    325,986/498,667 = 498,667/x
  3. Step 3: Cross multiply
    325,986x = 498,667 × 498,667
  4. Step 4: Simplify right side
    325,986x = 248,668,776,889
  5. Step 5: Solve for x
    x = 248,668,776,889/325,986
  6. Step 6: Final answer
    x = 762,820.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.