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Finding the Third Proportional to 454,785.75 and 757,914.75

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Solution

The third proportional to 454,785.75 and 757,914.75 is: 1,263,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,785.75 : 757,914.75 = 757,914.75 : x
  2. Step 2: Convert to fraction form
    454,785.75/757,914.75 = 757,914.75/x
  3. Step 3: Cross multiply
    454,785.75x = 757,914.75 × 757,914.75
  4. Step 4: Simplify right side
    454,785.75x = 574,434,768,267.56
  5. Step 5: Solve for x
    x = 574,434,768,267.56/454,785.75
  6. Step 6: Final answer
    x = 1,263,088.76

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.