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Finding the Third Proportional to 273,366 and 591,660

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Solution

The third proportional to 273,366 and 591,660 is: 1,280,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,366 : 591,660 = 591,660 : x
  2. Step 2: Convert to fraction form
    273,366/591,660 = 591,660/x
  3. Step 3: Cross multiply
    273,366x = 591,660 × 591,660
  4. Step 4: Simplify right side
    273,366x = 350,061,555,600
  5. Step 5: Solve for x
    x = 350,061,555,600/273,366
  6. Step 6: Final answer
    x = 1,280,559.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.