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Finding the Third Proportional to 332,834 and 729,021

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Solution

The third proportional to 332,834 and 729,021 is: 1,596,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,834 : 729,021 = 729,021 : x
  2. Step 2: Convert to fraction form
    332,834/729,021 = 729,021/x
  3. Step 3: Cross multiply
    332,834x = 729,021 × 729,021
  4. Step 4: Simplify right side
    332,834x = 531,471,618,441
  5. Step 5: Solve for x
    x = 531,471,618,441/332,834
  6. Step 6: Final answer
    x = 1,596,806.87

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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.