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Finding the Third Proportional to 332,647 and 801,988

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Solution

The third proportional to 332,647 and 801,988 is: 1,933,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,647 : 801,988 = 801,988 : x
  2. Step 2: Convert to fraction form
    332,647/801,988 = 801,988/x
  3. Step 3: Cross multiply
    332,647x = 801,988 × 801,988
  4. Step 4: Simplify right side
    332,647x = 643,184,752,144
  5. Step 5: Solve for x
    x = 643,184,752,144/332,647
  6. Step 6: Final answer
    x = 1,933,535.41

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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.