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Finding the Third Proportional to 343,423 and 755,360

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Solution

The third proportional to 343,423 and 755,360 is: 1,661,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,423 : 755,360 = 755,360 : x
  2. Step 2: Convert to fraction form
    343,423/755,360 = 755,360/x
  3. Step 3: Cross multiply
    343,423x = 755,360 × 755,360
  4. Step 4: Simplify right side
    343,423x = 570,568,729,600
  5. Step 5: Solve for x
    x = 570,568,729,600/343,423
  6. Step 6: Final answer
    x = 1,661,416.76

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