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Finding the Third Proportional to 333,204 and 529,326

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Solution

The third proportional to 333,204 and 529,326 is: 840,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,204 : 529,326 = 529,326 : x
  2. Step 2: Convert to fraction form
    333,204/529,326 = 529,326/x
  3. Step 3: Cross multiply
    333,204x = 529,326 × 529,326
  4. Step 4: Simplify right side
    333,204x = 280,186,014,276
  5. Step 5: Solve for x
    x = 280,186,014,276/333,204
  6. Step 6: Final answer
    x = 840,884.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.