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Finding the Third Proportional to 355,443.50 and 782,932

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Solution

The third proportional to 355,443.50 and 782,932 is: 1,724,556.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,443.50 : 782,932 = 782,932 : x
  2. Step 2: Convert to fraction form
    355,443.50/782,932 = 782,932/x
  3. Step 3: Cross multiply
    355,443.50x = 782,932 × 782,932
  4. Step 4: Simplify right side
    355,443.50x = 612,982,516,624
  5. Step 5: Solve for x
    x = 612,982,516,624/355,443.50
  6. Step 6: Final answer
    x = 1,724,556.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.