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Finding the Third Proportional to 340,906.50 and 504,756

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Solution

The third proportional to 340,906.50 and 504,756 is: 747,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,906.50 : 504,756 = 504,756 : x
  2. Step 2: Convert to fraction form
    340,906.50/504,756 = 504,756/x
  3. Step 3: Cross multiply
    340,906.50x = 504,756 × 504,756
  4. Step 4: Simplify right side
    340,906.50x = 254,778,619,536
  5. Step 5: Solve for x
    x = 254,778,619,536/340,906.50
  6. Step 6: Final answer
    x = 747,356.30

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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.