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Finding the Third Proportional to 405,354 and 879,932

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Solution

The third proportional to 405,354 and 879,932 is: 1,910,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,354 : 879,932 = 879,932 : x
  2. Step 2: Convert to fraction form
    405,354/879,932 = 879,932/x
  3. Step 3: Cross multiply
    405,354x = 879,932 × 879,932
  4. Step 4: Simplify right side
    405,354x = 774,280,324,624
  5. Step 5: Solve for x
    x = 774,280,324,624/405,354
  6. Step 6: Final answer
    x = 1,910,133.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.