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Finding the Third Proportional to 378,583.50 and 809,695.50

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Solution

The third proportional to 378,583.50 and 809,695.50 is: 1,731,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,583.50 : 809,695.50 = 809,695.50 : x
  2. Step 2: Convert to fraction form
    378,583.50/809,695.50 = 809,695.50/x
  3. Step 3: Cross multiply
    378,583.50x = 809,695.50 × 809,695.50
  4. Step 4: Simplify right side
    378,583.50x = 655,606,802,720.25
  5. Step 5: Solve for x
    x = 655,606,802,720.25/378,583.50
  6. Step 6: Final answer
    x = 1,731,736.33

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Why These Related Problems?

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