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Finding the Third Proportional to 512,237.25 and 751,740.75

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Solution

The third proportional to 512,237.25 and 751,740.75 is: 1,103,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,237.25 : 751,740.75 = 751,740.75 : x
  2. Step 2: Convert to fraction form
    512,237.25/751,740.75 = 751,740.75/x
  3. Step 3: Cross multiply
    512,237.25x = 751,740.75 × 751,740.75
  4. Step 4: Simplify right side
    512,237.25x = 565,114,155,210.56
  5. Step 5: Solve for x
    x = 565,114,155,210.56/512,237.25
  6. Step 6: Final answer
    x = 1,103,227.37

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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.