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Finding the Third Proportional to 335,674.50 and 512,277.75

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Solution

The third proportional to 335,674.50 and 512,277.75 is: 781,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,674.50 : 512,277.75 = 512,277.75 : x
  2. Step 2: Convert to fraction form
    335,674.50/512,277.75 = 512,277.75/x
  3. Step 3: Cross multiply
    335,674.50x = 512,277.75 × 512,277.75
  4. Step 4: Simplify right side
    335,674.50x = 262,428,493,145.06
  5. Step 5: Solve for x
    x = 262,428,493,145.06/335,674.50
  6. Step 6: Final answer
    x = 781,794.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.