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Finding the Third Proportional to 298,116 and 451,026

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Solution

The third proportional to 298,116 and 451,026 is: 682,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,116 : 451,026 = 451,026 : x
  2. Step 2: Convert to fraction form
    298,116/451,026 = 451,026/x
  3. Step 3: Cross multiply
    298,116x = 451,026 × 451,026
  4. Step 4: Simplify right side
    298,116x = 203,424,452,676
  5. Step 5: Solve for x
    x = 203,424,452,676/298,116
  6. Step 6: Final answer
    x = 682,366.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.