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Finding the Third Proportional to 263,784.63 and 536,891.63

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Solution

The third proportional to 263,784.63 and 536,891.63 is: 1,092,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784.63 : 536,891.63 = 536,891.63 : x
  2. Step 2: Convert to fraction form
    263,784.63/536,891.63 = 536,891.63/x
  3. Step 3: Cross multiply
    263,784.63x = 536,891.63 × 536,891.63
  4. Step 4: Simplify right side
    263,784.63x = 288,252,616,995.14
  5. Step 5: Solve for x
    x = 288,252,616,995.14/263,784.63
  6. Step 6: Final answer
    x = 1,092,757.46

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.