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Finding the Third Proportional to 394,164 and 847,377

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Solution

The third proportional to 394,164 and 847,377 is: 1,821,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,164 : 847,377 = 847,377 : x
  2. Step 2: Convert to fraction form
    394,164/847,377 = 847,377/x
  3. Step 3: Cross multiply
    394,164x = 847,377 × 847,377
  4. Step 4: Simplify right side
    394,164x = 718,047,780,129
  5. Step 5: Solve for x
    x = 718,047,780,129/394,164
  6. Step 6: Final answer
    x = 1,821,698.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.