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Finding the Third Proportional to 303,867 and 651,885

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Solution

The third proportional to 303,867 and 651,885 is: 1,398,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,867 : 651,885 = 651,885 : x
  2. Step 2: Convert to fraction form
    303,867/651,885 = 651,885/x
  3. Step 3: Cross multiply
    303,867x = 651,885 × 651,885
  4. Step 4: Simplify right side
    303,867x = 424,954,053,225
  5. Step 5: Solve for x
    x = 424,954,053,225/303,867
  6. Step 6: Final answer
    x = 1,398,487.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.