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Finding the Third Proportional to 386,039.25 and 556,908.75

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Solution

The third proportional to 386,039.25 and 556,908.75 is: 803,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,039.25 : 556,908.75 = 556,908.75 : x
  2. Step 2: Convert to fraction form
    386,039.25/556,908.75 = 556,908.75/x
  3. Step 3: Cross multiply
    386,039.25x = 556,908.75 × 556,908.75
  4. Step 4: Simplify right side
    386,039.25x = 310,147,355,826.56
  5. Step 5: Solve for x
    x = 310,147,355,826.56/386,039.25
  6. Step 6: Final answer
    x = 803,408.87

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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.