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Finding the Third Proportional to 332,682.19 and 729,136.69

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Solution

The third proportional to 332,682.19 and 729,136.69 is: 1,598,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,682.19 : 729,136.69 = 729,136.69 : x
  2. Step 2: Convert to fraction form
    332,682.19/729,136.69 = 729,136.69/x
  3. Step 3: Cross multiply
    332,682.19x = 729,136.69 × 729,136.69
  4. Step 4: Simplify right side
    332,682.19x = 531,640,309,058.47
  5. Step 5: Solve for x
    x = 531,640,309,058.47/332,682.19
  6. Step 6: Final answer
    x = 1,598,042.60

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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.