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Finding the Third Proportional to 496,239.75 and 1,076,496.75

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Solution

The third proportional to 496,239.75 and 1,076,496.75 is: 2,335,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,239.75 : 1,076,496.75 = 1,076,496.75 : x
  2. Step 2: Convert to fraction form
    496,239.75/1,076,496.75 = 1,076,496.75/x
  3. Step 3: Cross multiply
    496,239.75x = 1,076,496.75 × 1,076,496.75
  4. Step 4: Simplify right side
    496,239.75x = 1,158,845,252,760.56
  5. Step 5: Solve for x
    x = 1,158,845,252,760.56/496,239.75
  6. Step 6: Final answer
    x = 2,335,252.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.