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Finding the Third Proportional to 194,346 and 467,775

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Solution

The third proportional to 194,346 and 467,775 is: 1,125,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,346 : 467,775 = 467,775 : x
  2. Step 2: Convert to fraction form
    194,346/467,775 = 467,775/x
  3. Step 3: Cross multiply
    194,346x = 467,775 × 467,775
  4. Step 4: Simplify right side
    194,346x = 218,813,450,625
  5. Step 5: Solve for x
    x = 218,813,450,625/194,346
  6. Step 6: Final answer
    x = 1,125,896.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.