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Finding the Third Proportional to 757,408.50 and 1,643,568.75

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Solution

The third proportional to 757,408.50 and 1,643,568.75 is: 3,566,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,408.50 : 1,643,568.75 = 1,643,568.75 : x
  2. Step 2: Convert to fraction form
    757,408.50/1,643,568.75 = 1,643,568.75/x
  3. Step 3: Cross multiply
    757,408.50x = 1,643,568.75 × 1,643,568.75
  4. Step 4: Simplify right side
    757,408.50x = 2,701,318,235,976.56
  5. Step 5: Solve for x
    x = 2,701,318,235,976.56/757,408.50
  6. Step 6: Final answer
    x = 3,566,527.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.