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Finding the Third Proportional to 309,997.69 and 438,767.44

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Solution

The third proportional to 309,997.69 and 438,767.44 is: 621,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997.69 : 438,767.44 = 438,767.44 : x
  2. Step 2: Convert to fraction form
    309,997.69/438,767.44 = 438,767.44/x
  3. Step 3: Cross multiply
    309,997.69x = 438,767.44 × 438,767.44
  4. Step 4: Simplify right side
    309,997.69x = 192,516,864,210.32
  5. Step 5: Solve for x
    x = 192,516,864,210.32/309,997.69
  6. Step 6: Final answer
    x = 621,026.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.