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Finding the Third Proportional to 311,428 and 681,016

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Solution

The third proportional to 311,428 and 681,016 is: 1,489,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,428 : 681,016 = 681,016 : x
  2. Step 2: Convert to fraction form
    311,428/681,016 = 681,016/x
  3. Step 3: Cross multiply
    311,428x = 681,016 × 681,016
  4. Step 4: Simplify right side
    311,428x = 463,782,792,256
  5. Step 5: Solve for x
    x = 463,782,792,256/311,428
  6. Step 6: Final answer
    x = 1,489,213.53

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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.