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Finding the Third Proportional to 350,112 and 543,152

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Solution

The third proportional to 350,112 and 543,152 is: 842,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,112 : 543,152 = 543,152 : x
  2. Step 2: Convert to fraction form
    350,112/543,152 = 543,152/x
  3. Step 3: Cross multiply
    350,112x = 543,152 × 543,152
  4. Step 4: Simplify right side
    350,112x = 295,014,095,104
  5. Step 5: Solve for x
    x = 295,014,095,104/350,112
  6. Step 6: Final answer
    x = 842,627.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.