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Finding the Third Proportional to 345,406 and 743,301

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Solution

The third proportional to 345,406 and 743,301 is: 1,599,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,406 : 743,301 = 743,301 : x
  2. Step 2: Convert to fraction form
    345,406/743,301 = 743,301/x
  3. Step 3: Cross multiply
    345,406x = 743,301 × 743,301
  4. Step 4: Simplify right side
    345,406x = 552,496,376,601
  5. Step 5: Solve for x
    x = 552,496,376,601/345,406
  6. Step 6: Final answer
    x = 1,599,556.40

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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.