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Finding the Third Proportional to 332,573 and 753,924

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Solution

The third proportional to 332,573 and 753,924 is: 1,709,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,573 : 753,924 = 753,924 : x
  2. Step 2: Convert to fraction form
    332,573/753,924 = 753,924/x
  3. Step 3: Cross multiply
    332,573x = 753,924 × 753,924
  4. Step 4: Simplify right side
    332,573x = 568,401,397,776
  5. Step 5: Solve for x
    x = 568,401,397,776/332,573
  6. Step 6: Final answer
    x = 1,709,102.66

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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.