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Finding the Third Proportional to 332,916 and 728,116

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Solution

The third proportional to 332,916 and 728,116 is: 1,592,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,916 : 728,116 = 728,116 : x
  2. Step 2: Convert to fraction form
    332,916/728,116 = 728,116/x
  3. Step 3: Cross multiply
    332,916x = 728,116 × 728,116
  4. Step 4: Simplify right side
    332,916x = 530,152,909,456
  5. Step 5: Solve for x
    x = 530,152,909,456/332,916
  6. Step 6: Final answer
    x = 1,592,452.48

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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.