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Finding the Third Proportional to 274,064.13 and 421,794.84

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Solution

The third proportional to 274,064.13 and 421,794.84 is: 649,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,064.13 : 421,794.84 = 421,794.84 : x
  2. Step 2: Convert to fraction form
    274,064.13/421,794.84 = 421,794.84/x
  3. Step 3: Cross multiply
    274,064.13x = 421,794.84 × 421,794.84
  4. Step 4: Simplify right side
    274,064.13x = 177,910,890,214.09
  5. Step 5: Solve for x
    x = 177,910,890,214.09/274,064.13
  6. Step 6: Final answer
    x = 649,157.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.