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Finding the Third Proportional to 682,040.25 and 948,312.56

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Solution

The third proportional to 682,040.25 and 948,312.56 is: 1,318,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,040.25 : 948,312.56 = 948,312.56 : x
  2. Step 2: Convert to fraction form
    682,040.25/948,312.56 = 948,312.56/x
  3. Step 3: Cross multiply
    682,040.25x = 948,312.56 × 948,312.56
  4. Step 4: Simplify right side
    682,040.25x = 899,296,716,195.32
  5. Step 5: Solve for x
    x = 899,296,716,195.32/682,040.25
  6. Step 6: Final answer
    x = 1,318,539.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.