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Finding the Third Proportional to 214,401 and 484,845

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Solution

The third proportional to 214,401 and 484,845 is: 1,096,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,401 : 484,845 = 484,845 : x
  2. Step 2: Convert to fraction form
    214,401/484,845 = 484,845/x
  3. Step 3: Cross multiply
    214,401x = 484,845 × 484,845
  4. Step 4: Simplify right side
    214,401x = 235,074,674,025
  5. Step 5: Solve for x
    x = 235,074,674,025/214,401
  6. Step 6: Final answer
    x = 1,096,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.