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Finding the Third Proportional to 214,550 and 462,824

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Solution

The third proportional to 214,550 and 462,824 is: 998,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,550 : 462,824 = 462,824 : x
  2. Step 2: Convert to fraction form
    214,550/462,824 = 462,824/x
  3. Step 3: Cross multiply
    214,550x = 462,824 × 462,824
  4. Step 4: Simplify right side
    214,550x = 214,206,054,976
  5. Step 5: Solve for x
    x = 214,206,054,976/214,550
  6. Step 6: Final answer
    x = 998,396.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.