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Finding the Third Proportional to 340,626.75 and 504,345

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Solution

The third proportional to 340,626.75 and 504,345 is: 746,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,626.75 : 504,345 = 504,345 : x
  2. Step 2: Convert to fraction form
    340,626.75/504,345 = 504,345/x
  3. Step 3: Cross multiply
    340,626.75x = 504,345 × 504,345
  4. Step 4: Simplify right side
    340,626.75x = 254,363,879,025
  5. Step 5: Solve for x
    x = 254,363,879,025/340,626.75
  6. Step 6: Final answer
    x = 746,752.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.