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Finding the Third Proportional to 394,746.75 and 856,561.50

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Solution

The third proportional to 394,746.75 and 856,561.50 is: 1,858,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,746.75 : 856,561.50 = 856,561.50 : x
  2. Step 2: Convert to fraction form
    394,746.75/856,561.50 = 856,561.50/x
  3. Step 3: Cross multiply
    394,746.75x = 856,561.50 × 856,561.50
  4. Step 4: Simplify right side
    394,746.75x = 733,697,603,282.25
  5. Step 5: Solve for x
    x = 733,697,603,282.25/394,746.75
  6. Step 6: Final answer
    x = 1,858,653.94

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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.