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Finding the Third Proportional to 332,936 and 728,053

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Solution

The third proportional to 332,936 and 728,053 is: 1,592,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,936 : 728,053 = 728,053 : x
  2. Step 2: Convert to fraction form
    332,936/728,053 = 728,053/x
  3. Step 3: Cross multiply
    332,936x = 728,053 × 728,053
  4. Step 4: Simplify right side
    332,936x = 530,061,170,809
  5. Step 5: Solve for x
    x = 530,061,170,809/332,936
  6. Step 6: Final answer
    x = 1,592,081.27

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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.