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Finding the Third Proportional to 326,751 and 499,738.50

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Solution

The third proportional to 326,751 and 499,738.50 is: 764,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,751 : 499,738.50 = 499,738.50 : x
  2. Step 2: Convert to fraction form
    326,751/499,738.50 = 499,738.50/x
  3. Step 3: Cross multiply
    326,751x = 499,738.50 × 499,738.50
  4. Step 4: Simplify right side
    326,751x = 249,738,568,382.25
  5. Step 5: Solve for x
    x = 249,738,568,382.25/326,751
  6. Step 6: Final answer
    x = 764,308.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.