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Finding the Third Proportional to 343,794 and 746,752.50

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Solution

The third proportional to 343,794 and 746,752.50 is: 1,622,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,794 : 746,752.50 = 746,752.50 : x
  2. Step 2: Convert to fraction form
    343,794/746,752.50 = 746,752.50/x
  3. Step 3: Cross multiply
    343,794x = 746,752.50 × 746,752.50
  4. Step 4: Simplify right side
    343,794x = 557,639,296,256.25
  5. Step 5: Solve for x
    x = 557,639,296,256.25/343,794
  6. Step 6: Final answer
    x = 1,622,015.79

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