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Finding the Third Proportional to 496,175.63 and 1,086,918.75

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Solution

The third proportional to 496,175.63 and 1,086,918.75 is: 2,380,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,175.63 : 1,086,918.75 = 1,086,918.75 : x
  2. Step 2: Convert to fraction form
    496,175.63/1,086,918.75 = 1,086,918.75/x
  3. Step 3: Cross multiply
    496,175.63x = 1,086,918.75 × 1,086,918.75
  4. Step 4: Simplify right side
    496,175.63x = 1,181,392,369,101.56
  5. Step 5: Solve for x
    x = 1,181,392,369,101.56/496,175.63
  6. Step 6: Final answer
    x = 2,380,996.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.