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Finding the Third Proportional to 501,311.38 and 1,043,932.75

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Solution

The third proportional to 501,311.38 and 1,043,932.75 is: 2,173,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,311.38 : 1,043,932.75 = 1,043,932.75 : x
  2. Step 2: Convert to fraction form
    501,311.38/1,043,932.75 = 1,043,932.75/x
  3. Step 3: Cross multiply
    501,311.38x = 1,043,932.75 × 1,043,932.75
  4. Step 4: Simplify right side
    501,311.38x = 1,089,795,586,522.56
  5. Step 5: Solve for x
    x = 1,089,795,586,522.56/501,311.38
  6. Step 6: Final answer
    x = 2,173,889.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.