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Finding the Third Proportional to 332,025 and 673,932

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Solution

The third proportional to 332,025 and 673,932 is: 1,367,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,025 : 673,932 = 673,932 : x
  2. Step 2: Convert to fraction form
    332,025/673,932 = 673,932/x
  3. Step 3: Cross multiply
    332,025x = 673,932 × 673,932
  4. Step 4: Simplify right side
    332,025x = 454,184,340,624
  5. Step 5: Solve for x
    x = 454,184,340,624/332,025
  6. Step 6: Final answer
    x = 1,367,922.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.