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Finding the Third Proportional to 580,881.38 and 836,628.75

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Solution

The third proportional to 580,881.38 and 836,628.75 is: 1,204,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,881.38 : 836,628.75 = 836,628.75 : x
  2. Step 2: Convert to fraction form
    580,881.38/836,628.75 = 836,628.75/x
  3. Step 3: Cross multiply
    580,881.38x = 836,628.75 × 836,628.75
  4. Step 4: Simplify right side
    580,881.38x = 699,947,665,326.56
  5. Step 5: Solve for x
    x = 699,947,665,326.56/580,881.38
  6. Step 6: Final answer
    x = 1,204,975.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.