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Finding the Third Proportional to 398,372 and 933,234

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Solution

The third proportional to 398,372 and 933,234 is: 2,186,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,372 : 933,234 = 933,234 : x
  2. Step 2: Convert to fraction form
    398,372/933,234 = 933,234/x
  3. Step 3: Cross multiply
    398,372x = 933,234 × 933,234
  4. Step 4: Simplify right side
    398,372x = 870,925,698,756
  5. Step 5: Solve for x
    x = 870,925,698,756/398,372
  6. Step 6: Final answer
    x = 2,186,212.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.