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Finding the Third Proportional to 384,231 and 834,907

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Solution

The third proportional to 384,231 and 834,907 is: 1,814,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,231 : 834,907 = 834,907 : x
  2. Step 2: Convert to fraction form
    384,231/834,907 = 834,907/x
  3. Step 3: Cross multiply
    384,231x = 834,907 × 834,907
  4. Step 4: Simplify right side
    384,231x = 697,069,698,649
  5. Step 5: Solve for x
    x = 697,069,698,649/384,231
  6. Step 6: Final answer
    x = 1,814,194.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.