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Finding the Third Proportional to 332,829.50 and 727,867

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Solution

The third proportional to 332,829.50 and 727,867 is: 1,591,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,829.50 : 727,867 = 727,867 : x
  2. Step 2: Convert to fraction form
    332,829.50/727,867 = 727,867/x
  3. Step 3: Cross multiply
    332,829.50x = 727,867 × 727,867
  4. Step 4: Simplify right side
    332,829.50x = 529,790,369,689
  5. Step 5: Solve for x
    x = 529,790,369,689/332,829.50
  6. Step 6: Final answer
    x = 1,591,777.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.