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Finding the Third Proportional to 225,610 and 490,100

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Solution

The third proportional to 225,610 and 490,100 is: 1,064,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,610 : 490,100 = 490,100 : x
  2. Step 2: Convert to fraction form
    225,610/490,100 = 490,100/x
  3. Step 3: Cross multiply
    225,610x = 490,100 × 490,100
  4. Step 4: Simplify right side
    225,610x = 240,198,010,000
  5. Step 5: Solve for x
    x = 240,198,010,000/225,610
  6. Step 6: Final answer
    x = 1,064,660.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.