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Finding the Third Proportional to 343,446 and 755,400

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Solution

The third proportional to 343,446 and 755,400 is: 1,661,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,446 : 755,400 = 755,400 : x
  2. Step 2: Convert to fraction form
    343,446/755,400 = 755,400/x
  3. Step 3: Cross multiply
    343,446x = 755,400 × 755,400
  4. Step 4: Simplify right side
    343,446x = 570,629,160,000
  5. Step 5: Solve for x
    x = 570,629,160,000/343,446
  6. Step 6: Final answer
    x = 1,661,481.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.