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Finding the Third Proportional to 225,828 and 490,655

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Solution

The third proportional to 225,828 and 490,655 is: 1,066,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,828 : 490,655 = 490,655 : x
  2. Step 2: Convert to fraction form
    225,828/490,655 = 490,655/x
  3. Step 3: Cross multiply
    225,828x = 490,655 × 490,655
  4. Step 4: Simplify right side
    225,828x = 240,742,329,025
  5. Step 5: Solve for x
    x = 240,742,329,025/225,828
  6. Step 6: Final answer
    x = 1,066,042.87

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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.