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Finding the Third Proportional to 518,173.50 and 762,441.75

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Solution

The third proportional to 518,173.50 and 762,441.75 is: 1,121,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,173.50 : 762,441.75 = 762,441.75 : x
  2. Step 2: Convert to fraction form
    518,173.50/762,441.75 = 762,441.75/x
  3. Step 3: Cross multiply
    518,173.50x = 762,441.75 × 762,441.75
  4. Step 4: Simplify right side
    518,173.50x = 581,317,422,143.06
  5. Step 5: Solve for x
    x = 581,317,422,143.06/518,173.50
  6. Step 6: Final answer
    x = 1,121,858.65

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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.