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Finding the Third Proportional to 321,861.75 and 486,933.75

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Solution

The third proportional to 321,861.75 and 486,933.75 is: 736,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,861.75 : 486,933.75 = 486,933.75 : x
  2. Step 2: Convert to fraction form
    321,861.75/486,933.75 = 486,933.75/x
  3. Step 3: Cross multiply
    321,861.75x = 486,933.75 × 486,933.75
  4. Step 4: Simplify right side
    321,861.75x = 237,104,476,889.06
  5. Step 5: Solve for x
    x = 237,104,476,889.06/321,861.75
  6. Step 6: Final answer
    x = 736,665.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.