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Finding the Third Proportional to 682,011.91 and 948,283.03

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Solution

The third proportional to 682,011.91 and 948,283.03 is: 1,318,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,011.91 : 948,283.03 = 948,283.03 : x
  2. Step 2: Convert to fraction form
    682,011.91/948,283.03 = 948,283.03/x
  3. Step 3: Cross multiply
    682,011.91x = 948,283.03 × 948,283.03
  4. Step 4: Simplify right side
    682,011.91x = 899,240,707,356.69
  5. Step 5: Solve for x
    x = 899,240,707,356.69/682,011.91
  6. Step 6: Final answer
    x = 1,318,511.73

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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.