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Finding the Third Proportional to 332,829 and 729,012

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Solution

The third proportional to 332,829 and 729,012 is: 1,596,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,829 : 729,012 = 729,012 : x
  2. Step 2: Convert to fraction form
    332,829/729,012 = 729,012/x
  3. Step 3: Cross multiply
    332,829x = 729,012 × 729,012
  4. Step 4: Simplify right side
    332,829x = 531,458,496,144
  5. Step 5: Solve for x
    x = 531,458,496,144/332,829
  6. Step 6: Final answer
    x = 1,596,791.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.