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Finding the Third Proportional to 309,997 and 438,766

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Solution

The third proportional to 309,997 and 438,766 is: 621,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997 : 438,766 = 438,766 : x
  2. Step 2: Convert to fraction form
    309,997/438,766 = 438,766/x
  3. Step 3: Cross multiply
    309,997x = 438,766 × 438,766
  4. Step 4: Simplify right side
    309,997x = 192,515,602,756
  5. Step 5: Solve for x
    x = 192,515,602,756/309,997
  6. Step 6: Final answer
    x = 621,024.08

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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.