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Finding the Third Proportional to 311,162.77 and 678,874.92

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Solution

The third proportional to 311,162.77 and 678,874.92 is: 1,481,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,162.77 : 678,874.92 = 678,874.92 : x
  2. Step 2: Convert to fraction form
    311,162.77/678,874.92 = 678,874.92/x
  3. Step 3: Cross multiply
    311,162.77x = 678,874.92 × 678,874.92
  4. Step 4: Simplify right side
    311,162.77x = 460,871,159,550.79
  5. Step 5: Solve for x
    x = 460,871,159,550.79/311,162.77
  6. Step 6: Final answer
    x = 1,481,125.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.