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Finding the Third Proportional to 212,592 and 451,104

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Solution

The third proportional to 212,592 and 451,104 is: 957,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,592 : 451,104 = 451,104 : x
  2. Step 2: Convert to fraction form
    212,592/451,104 = 451,104/x
  3. Step 3: Cross multiply
    212,592x = 451,104 × 451,104
  4. Step 4: Simplify right side
    212,592x = 203,494,818,816
  5. Step 5: Solve for x
    x = 203,494,818,816/212,592
  6. Step 6: Final answer
    x = 957,208.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.