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Finding the Third Proportional to 353,744 and 769,696

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Solution

The third proportional to 353,744 and 769,696 is: 1,674,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,744 : 769,696 = 769,696 : x
  2. Step 2: Convert to fraction form
    353,744/769,696 = 769,696/x
  3. Step 3: Cross multiply
    353,744x = 769,696 × 769,696
  4. Step 4: Simplify right side
    353,744x = 592,431,932,416
  5. Step 5: Solve for x
    x = 592,431,932,416/353,744
  6. Step 6: Final answer
    x = 1,674,747.65

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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.