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Finding the Third Proportional to 225,650 and 490,144

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Solution

The third proportional to 225,650 and 490,144 is: 1,064,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,650 : 490,144 = 490,144 : x
  2. Step 2: Convert to fraction form
    225,650/490,144 = 490,144/x
  3. Step 3: Cross multiply
    225,650x = 490,144 × 490,144
  4. Step 4: Simplify right side
    225,650x = 240,241,140,736
  5. Step 5: Solve for x
    x = 240,241,140,736/225,650
  6. Step 6: Final answer
    x = 1,064,662.71

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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.