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Finding the Third Proportional to 481,845.38 and 633,237.75

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Solution

The third proportional to 481,845.38 and 633,237.75 is: 832,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,845.38 : 633,237.75 = 633,237.75 : x
  2. Step 2: Convert to fraction form
    481,845.38/633,237.75 = 633,237.75/x
  3. Step 3: Cross multiply
    481,845.38x = 633,237.75 × 633,237.75
  4. Step 4: Simplify right side
    481,845.38x = 400,990,048,025.06
  5. Step 5: Solve for x
    x = 400,990,048,025.06/481,845.38
  6. Step 6: Final answer
    x = 832,196.53

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.