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Finding the Third Proportional to 315,057.09 and 691,350.19

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Solution

The third proportional to 315,057.09 and 691,350.19 is: 1,517,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,057.09 : 691,350.19 = 691,350.19 : x
  2. Step 2: Convert to fraction form
    315,057.09/691,350.19 = 691,350.19/x
  3. Step 3: Cross multiply
    315,057.09x = 691,350.19 × 691,350.19
  4. Step 4: Simplify right side
    315,057.09x = 477,965,081,756.29
  5. Step 5: Solve for x
    x = 477,965,081,756.29/315,057.09
  6. Step 6: Final answer
    x = 1,517,074.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.