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Finding the Third Proportional to 550,406.50 and 775,093.75

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Solution

The third proportional to 550,406.50 and 775,093.75 is: 1,091,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,406.50 : 775,093.75 = 775,093.75 : x
  2. Step 2: Convert to fraction form
    550,406.50/775,093.75 = 775,093.75/x
  3. Step 3: Cross multiply
    550,406.50x = 775,093.75 × 775,093.75
  4. Step 4: Simplify right side
    550,406.50x = 600,770,321,289.06
  5. Step 5: Solve for x
    x = 600,770,321,289.06/550,406.50
  6. Step 6: Final answer
    x = 1,091,502.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.