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Finding the Third Proportional to 375,361.59 and 809,769.66

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Solution

The third proportional to 375,361.59 and 809,769.66 is: 1,746,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,361.59 : 809,769.66 = 809,769.66 : x
  2. Step 2: Convert to fraction form
    375,361.59/809,769.66 = 809,769.66/x
  3. Step 3: Cross multiply
    375,361.59x = 809,769.66 × 809,769.66
  4. Step 4: Simplify right side
    375,361.59x = 655,726,896,183.24
  5. Step 5: Solve for x
    x = 655,726,896,183.24/375,361.59
  6. Step 6: Final answer
    x = 1,746,920.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.