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Finding the Third Proportional to 303,906 and 661,326

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Solution

The third proportional to 303,906 and 661,326 is: 1,439,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,906 : 661,326 = 661,326 : x
  2. Step 2: Convert to fraction form
    303,906/661,326 = 661,326/x
  3. Step 3: Cross multiply
    303,906x = 661,326 × 661,326
  4. Step 4: Simplify right side
    303,906x = 437,352,078,276
  5. Step 5: Solve for x
    x = 437,352,078,276/303,906
  6. Step 6: Final answer
    x = 1,439,103.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.