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Finding the Third Proportional to 225,173 and 494,633

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Solution

The third proportional to 225,173 and 494,633 is: 1,086,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,173 : 494,633 = 494,633 : x
  2. Step 2: Convert to fraction form
    225,173/494,633 = 494,633/x
  3. Step 3: Cross multiply
    225,173x = 494,633 × 494,633
  4. Step 4: Simplify right side
    225,173x = 244,661,804,689
  5. Step 5: Solve for x
    x = 244,661,804,689/225,173
  6. Step 6: Final answer
    x = 1,086,550.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.