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Finding the Third Proportional to 378,776.25 and 810,087.75

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Solution

The third proportional to 378,776.25 and 810,087.75 is: 1,732,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,776.25 : 810,087.75 = 810,087.75 : x
  2. Step 2: Convert to fraction form
    378,776.25/810,087.75 = 810,087.75/x
  3. Step 3: Cross multiply
    378,776.25x = 810,087.75 × 810,087.75
  4. Step 4: Simplify right side
    378,776.25x = 656,242,162,700.06
  5. Step 5: Solve for x
    x = 656,242,162,700.06/378,776.25
  6. Step 6: Final answer
    x = 1,732,532.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.