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Finding the Third Proportional to 375,715.97 and 764,553.94

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Solution

The third proportional to 375,715.97 and 764,553.94 is: 1,555,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,715.97 : 764,553.94 = 764,553.94 : x
  2. Step 2: Convert to fraction form
    375,715.97/764,553.94 = 764,553.94/x
  3. Step 3: Cross multiply
    375,715.97x = 764,553.94 × 764,553.94
  4. Step 4: Simplify right side
    375,715.97x = 584,542,723,346.75
  5. Step 5: Solve for x
    x = 584,542,723,346.75/375,715.97
  6. Step 6: Final answer
    x = 1,555,810.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.