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Finding the Third Proportional to 394,818 and 562,698

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Solution

The third proportional to 394,818 and 562,698 is: 801,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,818 : 562,698 = 562,698 : x
  2. Step 2: Convert to fraction form
    394,818/562,698 = 562,698/x
  3. Step 3: Cross multiply
    394,818x = 562,698 × 562,698
  4. Step 4: Simplify right side
    394,818x = 316,629,039,204
  5. Step 5: Solve for x
    x = 316,629,039,204/394,818
  6. Step 6: Final answer
    x = 801,962.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.