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Finding the Third Proportional to 351,022.50 and 828,348.75

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Solution

The third proportional to 351,022.50 and 828,348.75 is: 1,954,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,022.50 : 828,348.75 = 828,348.75 : x
  2. Step 2: Convert to fraction form
    351,022.50/828,348.75 = 828,348.75/x
  3. Step 3: Cross multiply
    351,022.50x = 828,348.75 × 828,348.75
  4. Step 4: Simplify right side
    351,022.50x = 686,161,651,626.56
  5. Step 5: Solve for x
    x = 686,161,651,626.56/351,022.50
  6. Step 6: Final answer
    x = 1,954,751.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.