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Finding the Third Proportional to 350,525 and 744,799

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Solution

The third proportional to 350,525 and 744,799 is: 1,582,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,525 : 744,799 = 744,799 : x
  2. Step 2: Convert to fraction form
    350,525/744,799 = 744,799/x
  3. Step 3: Cross multiply
    350,525x = 744,799 × 744,799
  4. Step 4: Simplify right side
    350,525x = 554,725,550,401
  5. Step 5: Solve for x
    x = 554,725,550,401/350,525
  6. Step 6: Final answer
    x = 1,582,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.