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Finding the Third Proportional to 326,834 and 490,086

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Solution

The third proportional to 326,834 and 490,086 is: 734,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,834 : 490,086 = 490,086 : x
  2. Step 2: Convert to fraction form
    326,834/490,086 = 490,086/x
  3. Step 3: Cross multiply
    326,834x = 490,086 × 490,086
  4. Step 4: Simplify right side
    326,834x = 240,184,287,396
  5. Step 5: Solve for x
    x = 240,184,287,396/326,834
  6. Step 6: Final answer
    x = 734,881.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.