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Finding the Third Proportional to 378,816 and 770,688

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Solution

The third proportional to 378,816 and 770,688 is: 1,567,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,816 : 770,688 = 770,688 : x
  2. Step 2: Convert to fraction form
    378,816/770,688 = 770,688/x
  3. Step 3: Cross multiply
    378,816x = 770,688 × 770,688
  4. Step 4: Simplify right side
    378,816x = 593,959,993,344
  5. Step 5: Solve for x
    x = 593,959,993,344/378,816
  6. Step 6: Final answer
    x = 1,567,937.98

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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.