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Finding the Third Proportional to 332,571 and 753,919

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Solution

The third proportional to 332,571 and 753,919 is: 1,709,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,571 : 753,919 = 753,919 : x
  2. Step 2: Convert to fraction form
    332,571/753,919 = 753,919/x
  3. Step 3: Cross multiply
    332,571x = 753,919 × 753,919
  4. Step 4: Simplify right side
    332,571x = 568,393,858,561
  5. Step 5: Solve for x
    x = 568,393,858,561/332,571
  6. Step 6: Final answer
    x = 1,709,090.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.