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Finding the Third Proportional to 378,825 and 770,706

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Solution

The third proportional to 378,825 and 770,706 is: 1,567,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,825 : 770,706 = 770,706 : x
  2. Step 2: Convert to fraction form
    378,825/770,706 = 770,706/x
  3. Step 3: Cross multiply
    378,825x = 770,706 × 770,706
  4. Step 4: Simplify right side
    378,825x = 593,987,738,436
  5. Step 5: Solve for x
    x = 593,987,738,436/378,825
  6. Step 6: Final answer
    x = 1,567,973.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.