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Finding the Third Proportional to 332,992 and 728,152

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Solution

The third proportional to 332,992 and 728,152 is: 1,592,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,992 : 728,152 = 728,152 : x
  2. Step 2: Convert to fraction form
    332,992/728,152 = 728,152/x
  3. Step 3: Cross multiply
    332,992x = 728,152 × 728,152
  4. Step 4: Simplify right side
    332,992x = 530,205,335,104
  5. Step 5: Solve for x
    x = 530,205,335,104/332,992
  6. Step 6: Final answer
    x = 1,592,246.47

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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.