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Finding the Third Proportional to 298,944 and 453,954

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Solution

The third proportional to 298,944 and 453,954 is: 689,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944 : 453,954 = 453,954 : x
  2. Step 2: Convert to fraction form
    298,944/453,954 = 453,954/x
  3. Step 3: Cross multiply
    298,944x = 453,954 × 453,954
  4. Step 4: Simplify right side
    298,944x = 206,074,234,116
  5. Step 5: Solve for x
    x = 206,074,234,116/298,944
  6. Step 6: Final answer
    x = 689,340.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.