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Finding the Third Proportional to 194,931 and 418,866

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Solution

The third proportional to 194,931 and 418,866 is: 900,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931 : 418,866 = 418,866 : x
  2. Step 2: Convert to fraction form
    194,931/418,866 = 418,866/x
  3. Step 3: Cross multiply
    194,931x = 418,866 × 418,866
  4. Step 4: Simplify right side
    194,931x = 175,448,725,956
  5. Step 5: Solve for x
    x = 175,448,725,956/194,931
  6. Step 6: Final answer
    x = 900,055.54

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