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Finding the Third Proportional to 322,455.50 and 683,326

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Solution

The third proportional to 322,455.50 and 683,326 is: 1,448,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,455.50 : 683,326 = 683,326 : x
  2. Step 2: Convert to fraction form
    322,455.50/683,326 = 683,326/x
  3. Step 3: Cross multiply
    322,455.50x = 683,326 × 683,326
  4. Step 4: Simplify right side
    322,455.50x = 466,934,422,276
  5. Step 5: Solve for x
    x = 466,934,422,276/322,455.50
  6. Step 6: Final answer
    x = 1,448,058.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.