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Finding the Third Proportional to 342,933.75 and 509,433.75

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Solution

The third proportional to 342,933.75 and 509,433.75 is: 756,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,933.75 : 509,433.75 = 509,433.75 : x
  2. Step 2: Convert to fraction form
    342,933.75/509,433.75 = 509,433.75/x
  3. Step 3: Cross multiply
    342,933.75x = 509,433.75 × 509,433.75
  4. Step 4: Simplify right side
    342,933.75x = 259,522,745,639.06
  5. Step 5: Solve for x
    x = 259,522,745,639.06/342,933.75
  6. Step 6: Final answer
    x = 756,772.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.