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Finding the Third Proportional to 456,619.50 and 991,050.75

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Solution

The third proportional to 456,619.50 and 991,050.75 is: 2,150,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,619.50 : 991,050.75 = 991,050.75 : x
  2. Step 2: Convert to fraction form
    456,619.50/991,050.75 = 991,050.75/x
  3. Step 3: Cross multiply
    456,619.50x = 991,050.75 × 991,050.75
  4. Step 4: Simplify right side
    456,619.50x = 982,181,589,075.56
  5. Step 5: Solve for x
    x = 982,181,589,075.56/456,619.50
  6. Step 6: Final answer
    x = 2,150,984.77

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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.