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Finding the Third Proportional to 345,976 and 743,696

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Solution

The third proportional to 345,976 and 743,696 is: 1,598,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,976 : 743,696 = 743,696 : x
  2. Step 2: Convert to fraction form
    345,976/743,696 = 743,696/x
  3. Step 3: Cross multiply
    345,976x = 743,696 × 743,696
  4. Step 4: Simplify right side
    345,976x = 553,083,740,416
  5. Step 5: Solve for x
    x = 553,083,740,416/345,976
  6. Step 6: Final answer
    x = 1,598,618.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.