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Finding the Third Proportional to 324,453.50 and 698,823

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Solution

The third proportional to 324,453.50 and 698,823 is: 1,505,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,453.50 : 698,823 = 698,823 : x
  2. Step 2: Convert to fraction form
    324,453.50/698,823 = 698,823/x
  3. Step 3: Cross multiply
    324,453.50x = 698,823 × 698,823
  4. Step 4: Simplify right side
    324,453.50x = 488,353,585,329
  5. Step 5: Solve for x
    x = 488,353,585,329/324,453.50
  6. Step 6: Final answer
    x = 1,505,157.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.