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Finding the Third Proportional to 209,028 and 451,096

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Solution

The third proportional to 209,028 and 451,096 is: 973,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,028 : 451,096 = 451,096 : x
  2. Step 2: Convert to fraction form
    209,028/451,096 = 451,096/x
  3. Step 3: Cross multiply
    209,028x = 451,096 × 451,096
  4. Step 4: Simplify right side
    209,028x = 203,487,601,216
  5. Step 5: Solve for x
    x = 203,487,601,216/209,028
  6. Step 6: Final answer
    x = 973,494.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.