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Finding the Third Proportional to 332,696 and 729,160

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Solution

The third proportional to 332,696 and 729,160 is: 1,598,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,696 : 729,160 = 729,160 : x
  2. Step 2: Convert to fraction form
    332,696/729,160 = 729,160/x
  3. Step 3: Cross multiply
    332,696x = 729,160 × 729,160
  4. Step 4: Simplify right side
    332,696x = 531,674,305,600
  5. Step 5: Solve for x
    x = 531,674,305,600/332,696
  6. Step 6: Final answer
    x = 1,598,078.44

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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.