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Finding the Third Proportional to 351,954 and 830,016

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Solution

The third proportional to 351,954 and 830,016 is: 1,957,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,954 : 830,016 = 830,016 : x
  2. Step 2: Convert to fraction form
    351,954/830,016 = 830,016/x
  3. Step 3: Cross multiply
    351,954x = 830,016 × 830,016
  4. Step 4: Simplify right side
    351,954x = 688,926,560,256
  5. Step 5: Solve for x
    x = 688,926,560,256/351,954
  6. Step 6: Final answer
    x = 1,957,433.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.