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Finding the Third Proportional to 273,658 and 588,068

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Solution

The third proportional to 273,658 and 588,068 is: 1,263,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,658 : 588,068 = 588,068 : x
  2. Step 2: Convert to fraction form
    273,658/588,068 = 588,068/x
  3. Step 3: Cross multiply
    273,658x = 588,068 × 588,068
  4. Step 4: Simplify right side
    273,658x = 345,823,972,624
  5. Step 5: Solve for x
    x = 345,823,972,624/273,658
  6. Step 6: Final answer
    x = 1,263,708.62

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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.