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Finding the Third Proportional to 272,622 and 558,843

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Solution

The third proportional to 272,622 and 558,843 is: 1,145,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,622 : 558,843 = 558,843 : x
  2. Step 2: Convert to fraction form
    272,622/558,843 = 558,843/x
  3. Step 3: Cross multiply
    272,622x = 558,843 × 558,843
  4. Step 4: Simplify right side
    272,622x = 312,305,498,649
  5. Step 5: Solve for x
    x = 312,305,498,649/272,622
  6. Step 6: Final answer
    x = 1,145,562.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.