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Finding the Third Proportional to 225,633 and 481,290

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Solution

The third proportional to 225,633 and 481,290 is: 1,026,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,633 : 481,290 = 481,290 : x
  2. Step 2: Convert to fraction form
    225,633/481,290 = 481,290/x
  3. Step 3: Cross multiply
    225,633x = 481,290 × 481,290
  4. Step 4: Simplify right side
    225,633x = 231,640,064,100
  5. Step 5: Solve for x
    x = 231,640,064,100/225,633
  6. Step 6: Final answer
    x = 1,026,623.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.