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Finding the Third Proportional to 289,777.78 and 622,404.56

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Solution

The third proportional to 289,777.78 and 622,404.56 is: 1,336,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,777.78 : 622,404.56 = 622,404.56 : x
  2. Step 2: Convert to fraction form
    289,777.78/622,404.56 = 622,404.56/x
  3. Step 3: Cross multiply
    289,777.78x = 622,404.56 × 622,404.56
  4. Step 4: Simplify right side
    289,777.78x = 387,387,439,420.82
  5. Step 5: Solve for x
    x = 387,387,439,420.82/289,777.78
  6. Step 6: Final answer
    x = 1,336,843.14

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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.