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Finding the Third Proportional to 408,982 and 837,800

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Solution

The third proportional to 408,982 and 837,800 is: 1,716,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,982 : 837,800 = 837,800 : x
  2. Step 2: Convert to fraction form
    408,982/837,800 = 837,800/x
  3. Step 3: Cross multiply
    408,982x = 837,800 × 837,800
  4. Step 4: Simplify right side
    408,982x = 701,908,840,000
  5. Step 5: Solve for x
    x = 701,908,840,000/408,982
  6. Step 6: Final answer
    x = 1,716,234.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.