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Finding the Third Proportional to 332,583.50 and 753,956

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Solution

The third proportional to 332,583.50 and 753,956 is: 1,709,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,583.50 : 753,956 = 753,956 : x
  2. Step 2: Convert to fraction form
    332,583.50/753,956 = 753,956/x
  3. Step 3: Cross multiply
    332,583.50x = 753,956 × 753,956
  4. Step 4: Simplify right side
    332,583.50x = 568,449,649,936
  5. Step 5: Solve for x
    x = 568,449,649,936/332,583.50
  6. Step 6: Final answer
    x = 1,709,193.78

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.