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Finding the Third Proportional to 227,639 and 491,751

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Solution

The third proportional to 227,639 and 491,751 is: 1,062,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,639 : 491,751 = 491,751 : x
  2. Step 2: Convert to fraction form
    227,639/491,751 = 491,751/x
  3. Step 3: Cross multiply
    227,639x = 491,751 × 491,751
  4. Step 4: Simplify right side
    227,639x = 241,819,046,001
  5. Step 5: Solve for x
    x = 241,819,046,001/227,639
  6. Step 6: Final answer
    x = 1,062,291.81

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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.