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Finding the Third Proportional to 326,530 and 470,317.50

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Solution

The third proportional to 326,530 and 470,317.50 is: 677,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,530 : 470,317.50 = 470,317.50 : x
  2. Step 2: Convert to fraction form
    326,530/470,317.50 = 470,317.50/x
  3. Step 3: Cross multiply
    326,530x = 470,317.50 × 470,317.50
  4. Step 4: Simplify right side
    326,530x = 221,198,550,806.25
  5. Step 5: Solve for x
    x = 221,198,550,806.25/326,530
  6. Step 6: Final answer
    x = 677,421.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.