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Finding the Third Proportional to 343,826 and 746,814

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Solution

The third proportional to 343,826 and 746,814 is: 1,622,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826 : 746,814 = 746,814 : x
  2. Step 2: Convert to fraction form
    343,826/746,814 = 746,814/x
  3. Step 3: Cross multiply
    343,826x = 746,814 × 746,814
  4. Step 4: Simplify right side
    343,826x = 557,731,150,596
  5. Step 5: Solve for x
    x = 557,731,150,596/343,826
  6. Step 6: Final answer
    x = 1,622,131.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.