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Finding the Third Proportional to 332,866 and 728,010

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Solution

The third proportional to 332,866 and 728,010 is: 1,592,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,866 : 728,010 = 728,010 : x
  2. Step 2: Convert to fraction form
    332,866/728,010 = 728,010/x
  3. Step 3: Cross multiply
    332,866x = 728,010 × 728,010
  4. Step 4: Simplify right side
    332,866x = 529,998,560,100
  5. Step 5: Solve for x
    x = 529,998,560,100/332,866
  6. Step 6: Final answer
    x = 1,592,227.98

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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.