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Finding the Third Proportional to 226,613 and 333,655

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Solution

The third proportional to 226,613 and 333,655 is: 491,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,613 : 333,655 = 333,655 : x
  2. Step 2: Convert to fraction form
    226,613/333,655 = 333,655/x
  3. Step 3: Cross multiply
    226,613x = 333,655 × 333,655
  4. Step 4: Simplify right side
    226,613x = 111,325,659,025
  5. Step 5: Solve for x
    x = 111,325,659,025/226,613
  6. Step 6: Final answer
    x = 491,258.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.