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Finding the Third Proportional to 279,746 and 421,954

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Solution

The third proportional to 279,746 and 421,954 is: 636,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,746 : 421,954 = 421,954 : x
  2. Step 2: Convert to fraction form
    279,746/421,954 = 421,954/x
  3. Step 3: Cross multiply
    279,746x = 421,954 × 421,954
  4. Step 4: Simplify right side
    279,746x = 178,045,178,116
  5. Step 5: Solve for x
    x = 178,045,178,116/279,746
  6. Step 6: Final answer
    x = 636,452.99

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