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Finding the Third Proportional to 281,891 and 614,660

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Solution

The third proportional to 281,891 and 614,660 is: 1,340,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,891 : 614,660 = 614,660 : x
  2. Step 2: Convert to fraction form
    281,891/614,660 = 614,660/x
  3. Step 3: Cross multiply
    281,891x = 614,660 × 614,660
  4. Step 4: Simplify right side
    281,891x = 377,806,915,600
  5. Step 5: Solve for x
    x = 377,806,915,600/281,891
  6. Step 6: Final answer
    x = 1,340,258.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.