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Finding the Third Proportional to 511,827.75 and 751,122.75

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Solution

The third proportional to 511,827.75 and 751,122.75 is: 1,102,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,827.75 : 751,122.75 = 751,122.75 : x
  2. Step 2: Convert to fraction form
    511,827.75/751,122.75 = 751,122.75/x
  3. Step 3: Cross multiply
    511,827.75x = 751,122.75 × 751,122.75
  4. Step 4: Simplify right side
    511,827.75x = 564,185,385,567.56
  5. Step 5: Solve for x
    x = 564,185,385,567.56/511,827.75
  6. Step 6: Final answer
    x = 1,102,295.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.