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Finding the Third Proportional to 370,713.38 and 809,087.06

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Solution

The third proportional to 370,713.38 and 809,087.06 is: 1,765,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,713.38 : 809,087.06 = 809,087.06 : x
  2. Step 2: Convert to fraction form
    370,713.38/809,087.06 = 809,087.06/x
  3. Step 3: Cross multiply
    370,713.38x = 809,087.06 × 809,087.06
  4. Step 4: Simplify right side
    370,713.38x = 654,621,874,704.88
  5. Step 5: Solve for x
    x = 654,621,874,704.88/370,713.38
  6. Step 6: Final answer
    x = 1,765,843.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.