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Finding the Third Proportional to 597,081.38 and 878,004.56

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Solution

The third proportional to 597,081.38 and 878,004.56 is: 1,291,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,081.38 : 878,004.56 = 878,004.56 : x
  2. Step 2: Convert to fraction form
    597,081.38/878,004.56 = 878,004.56/x
  3. Step 3: Cross multiply
    597,081.38x = 878,004.56 × 878,004.56
  4. Step 4: Simplify right side
    597,081.38x = 770,892,011,770.82
  5. Step 5: Solve for x
    x = 770,892,011,770.82/597,081.38
  6. Step 6: Final answer
    x = 1,291,100.42

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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.