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Finding the Third Proportional to 216,578 and 324,867

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Solution

The third proportional to 216,578 and 324,867 is: 487,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,578 : 324,867 = 324,867 : x
  2. Step 2: Convert to fraction form
    216,578/324,867 = 324,867/x
  3. Step 3: Cross multiply
    216,578x = 324,867 × 324,867
  4. Step 4: Simplify right side
    216,578x = 105,538,567,689
  5. Step 5: Solve for x
    x = 105,538,567,689/216,578
  6. Step 6: Final answer
    x = 487,300.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.