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Finding the Third Proportional to 273,802 and 598,027

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Solution

The third proportional to 273,802 and 598,027 is: 1,306,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,802 : 598,027 = 598,027 : x
  2. Step 2: Convert to fraction form
    273,802/598,027 = 598,027/x
  3. Step 3: Cross multiply
    273,802x = 598,027 × 598,027
  4. Step 4: Simplify right side
    273,802x = 357,636,292,729
  5. Step 5: Solve for x
    x = 357,636,292,729/273,802
  6. Step 6: Final answer
    x = 1,306,185.83

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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.