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Finding the Third Proportional to 353,828 and 529,446

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Solution

The third proportional to 353,828 and 529,446 is: 792,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,828 : 529,446 = 529,446 : x
  2. Step 2: Convert to fraction form
    353,828/529,446 = 529,446/x
  3. Step 3: Cross multiply
    353,828x = 529,446 × 529,446
  4. Step 4: Simplify right side
    353,828x = 280,313,066,916
  5. Step 5: Solve for x
    x = 280,313,066,916/353,828
  6. Step 6: Final answer
    x = 792,229.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.