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Finding the Third Proportional to 229,819 and 488,981

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Solution

The third proportional to 229,819 and 488,981 is: 1,040,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,819 : 488,981 = 488,981 : x
  2. Step 2: Convert to fraction form
    229,819/488,981 = 488,981/x
  3. Step 3: Cross multiply
    229,819x = 488,981 × 488,981
  4. Step 4: Simplify right side
    229,819x = 239,102,418,361
  5. Step 5: Solve for x
    x = 239,102,418,361/229,819
  6. Step 6: Final answer
    x = 1,040,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.