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Finding the Third Proportional to 263,991.94 and 540,285.75

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Solution

The third proportional to 263,991.94 and 540,285.75 is: 1,105,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,991.94 : 540,285.75 = 540,285.75 : x
  2. Step 2: Convert to fraction form
    263,991.94/540,285.75 = 540,285.75/x
  3. Step 3: Cross multiply
    263,991.94x = 540,285.75 × 540,285.75
  4. Step 4: Simplify right side
    263,991.94x = 291,908,691,653.06
  5. Step 5: Solve for x
    x = 291,908,691,653.06/263,991.94
  6. Step 6: Final answer
    x = 1,105,748.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.