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Finding the Third Proportional to 228,326 and 324,545

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Solution

The third proportional to 228,326 and 324,545 is: 461,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,326 : 324,545 = 324,545 : x
  2. Step 2: Convert to fraction form
    228,326/324,545 = 324,545/x
  3. Step 3: Cross multiply
    228,326x = 324,545 × 324,545
  4. Step 4: Simplify right side
    228,326x = 105,329,457,025
  5. Step 5: Solve for x
    x = 105,329,457,025/228,326
  6. Step 6: Final answer
    x = 461,311.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.