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Finding the Third Proportional to 318,882 and 693,811

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Solution

The third proportional to 318,882 and 693,811 is: 1,509,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,882 : 693,811 = 693,811 : x
  2. Step 2: Convert to fraction form
    318,882/693,811 = 693,811/x
  3. Step 3: Cross multiply
    318,882x = 693,811 × 693,811
  4. Step 4: Simplify right side
    318,882x = 481,373,703,721
  5. Step 5: Solve for x
    x = 481,373,703,721/318,882
  6. Step 6: Final answer
    x = 1,509,566.87

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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.