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Finding the Third Proportional to 275,659 and 562,981

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Solution

The third proportional to 275,659 and 562,981 is: 1,149,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,659 : 562,981 = 562,981 : x
  2. Step 2: Convert to fraction form
    275,659/562,981 = 562,981/x
  3. Step 3: Cross multiply
    275,659x = 562,981 × 562,981
  4. Step 4: Simplify right side
    275,659x = 316,947,606,361
  5. Step 5: Solve for x
    x = 316,947,606,361/275,659
  6. Step 6: Final answer
    x = 1,149,781.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.