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Finding the Third Proportional to 332,830 and 729,013

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Solution

The third proportional to 332,830 and 729,013 is: 1,596,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,830 : 729,013 = 729,013 : x
  2. Step 2: Convert to fraction form
    332,830/729,013 = 729,013/x
  3. Step 3: Cross multiply
    332,830x = 729,013 × 729,013
  4. Step 4: Simplify right side
    332,830x = 531,459,954,169
  5. Step 5: Solve for x
    x = 531,459,954,169/332,830
  6. Step 6: Final answer
    x = 1,596,791.02

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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.