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Finding the Third Proportional to 259,224.75 and 402,324.75

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Solution

The third proportional to 259,224.75 and 402,324.75 is: 624,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,224.75 : 402,324.75 = 402,324.75 : x
  2. Step 2: Convert to fraction form
    259,224.75/402,324.75 = 402,324.75/x
  3. Step 3: Cross multiply
    259,224.75x = 402,324.75 × 402,324.75
  4. Step 4: Simplify right side
    259,224.75x = 161,865,204,462.56
  5. Step 5: Solve for x
    x = 161,865,204,462.56/259,224.75
  6. Step 6: Final answer
    x = 624,420.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.