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Finding the Third Proportional to 309,610.69 and 435,997.69

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Solution

The third proportional to 309,610.69 and 435,997.69 is: 613,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,610.69 : 435,997.69 = 435,997.69 : x
  2. Step 2: Convert to fraction form
    309,610.69/435,997.69 = 435,997.69/x
  3. Step 3: Cross multiply
    309,610.69x = 435,997.69 × 435,997.69
  4. Step 4: Simplify right side
    309,610.69x = 190,093,983,505.35
  5. Step 5: Solve for x
    x = 190,093,983,505.35/309,610.69
  6. Step 6: Final answer
    x = 613,977.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.