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Finding the Third Proportional to 298,068 and 450,954

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Solution

The third proportional to 298,068 and 450,954 is: 682,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,068 : 450,954 = 450,954 : x
  2. Step 2: Convert to fraction form
    298,068/450,954 = 450,954/x
  3. Step 3: Cross multiply
    298,068x = 450,954 × 450,954
  4. Step 4: Simplify right side
    298,068x = 203,359,510,116
  5. Step 5: Solve for x
    x = 203,359,510,116/298,068
  6. Step 6: Final answer
    x = 682,258.78

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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.