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Finding the Third Proportional to 359,979 and 764,229.75

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Solution

The third proportional to 359,979 and 764,229.75 is: 1,622,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,979 : 764,229.75 = 764,229.75 : x
  2. Step 2: Convert to fraction form
    359,979/764,229.75 = 764,229.75/x
  3. Step 3: Cross multiply
    359,979x = 764,229.75 × 764,229.75
  4. Step 4: Simplify right side
    359,979x = 584,047,110,785.06
  5. Step 5: Solve for x
    x = 584,047,110,785.06/359,979
  6. Step 6: Final answer
    x = 1,622,447.73

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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.