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Finding the Third Proportional to 289,923.68 and 622,755.84

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Solution

The third proportional to 289,923.68 and 622,755.84 is: 1,337,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923.68 : 622,755.84 = 622,755.84 : x
  2. Step 2: Convert to fraction form
    289,923.68/622,755.84 = 622,755.84/x
  3. Step 3: Cross multiply
    289,923.68x = 622,755.84 × 622,755.84
  4. Step 4: Simplify right side
    289,923.68x = 387,824,840,924.77
  5. Step 5: Solve for x
    x = 387,824,840,924.77/289,923.68
  6. Step 6: Final answer
    x = 1,337,679.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.