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Finding the Third Proportional to 358,383.75 and 769,896.75

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Solution

The third proportional to 358,383.75 and 769,896.75 is: 1,653,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,383.75 : 769,896.75 = 769,896.75 : x
  2. Step 2: Convert to fraction form
    358,383.75/769,896.75 = 769,896.75/x
  3. Step 3: Cross multiply
    358,383.75x = 769,896.75 × 769,896.75
  4. Step 4: Simplify right side
    358,383.75x = 592,741,005,660.56
  5. Step 5: Solve for x
    x = 592,741,005,660.56/358,383.75
  6. Step 6: Final answer
    x = 1,653,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.