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Finding the Third Proportional to 332,832 and 729,017

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Solution

The third proportional to 332,832 and 729,017 is: 1,596,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,832 : 729,017 = 729,017 : x
  2. Step 2: Convert to fraction form
    332,832/729,017 = 729,017/x
  3. Step 3: Cross multiply
    332,832x = 729,017 × 729,017
  4. Step 4: Simplify right side
    332,832x = 531,465,786,289
  5. Step 5: Solve for x
    x = 531,465,786,289/332,832
  6. Step 6: Final answer
    x = 1,596,798.94

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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.