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Finding the Third Proportional to 359,958.94 and 764,295.75

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Solution

The third proportional to 359,958.94 and 764,295.75 is: 1,622,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,958.94 : 764,295.75 = 764,295.75 : x
  2. Step 2: Convert to fraction form
    359,958.94/764,295.75 = 764,295.75/x
  3. Step 3: Cross multiply
    359,958.94x = 764,295.75 × 764,295.75
  4. Step 4: Simplify right side
    359,958.94x = 584,147,993,468.06
  5. Step 5: Solve for x
    x = 584,147,993,468.06/359,958.94
  6. Step 6: Final answer
    x = 1,622,818.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.