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Finding the Third Proportional to 225,533 and 490,412

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Solution

The third proportional to 225,533 and 490,412 is: 1,066,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,533 : 490,412 = 490,412 : x
  2. Step 2: Convert to fraction form
    225,533/490,412 = 490,412/x
  3. Step 3: Cross multiply
    225,533x = 490,412 × 490,412
  4. Step 4: Simplify right side
    225,533x = 240,503,929,744
  5. Step 5: Solve for x
    x = 240,503,929,744/225,533
  6. Step 6: Final answer
    x = 1,066,380.22

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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.