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Finding the Third Proportional to 332,648 and 801,992

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Solution

The third proportional to 332,648 and 801,992 is: 1,933,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,648 : 801,992 = 801,992 : x
  2. Step 2: Convert to fraction form
    332,648/801,992 = 801,992/x
  3. Step 3: Cross multiply
    332,648x = 801,992 × 801,992
  4. Step 4: Simplify right side
    332,648x = 643,191,168,064
  5. Step 5: Solve for x
    x = 643,191,168,064/332,648
  6. Step 6: Final answer
    x = 1,933,548.88

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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.