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Finding the Third Proportional to 380,855.25 and 811,057.50

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Solution

The third proportional to 380,855.25 and 811,057.50 is: 1,727,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,855.25 : 811,057.50 = 811,057.50 : x
  2. Step 2: Convert to fraction form
    380,855.25/811,057.50 = 811,057.50/x
  3. Step 3: Cross multiply
    380,855.25x = 811,057.50 × 811,057.50
  4. Step 4: Simplify right side
    380,855.25x = 657,814,268,306.25
  5. Step 5: Solve for x
    x = 657,814,268,306.25/380,855.25
  6. Step 6: Final answer
    x = 1,727,202.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.