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Finding the Third Proportional to 238,929.75 and 471,693.38

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Solution

The third proportional to 238,929.75 and 471,693.38 is: 931,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,929.75 : 471,693.38 = 471,693.38 : x
  2. Step 2: Convert to fraction form
    238,929.75/471,693.38 = 471,693.38/x
  3. Step 3: Cross multiply
    238,929.75x = 471,693.38 × 471,693.38
  4. Step 4: Simplify right side
    238,929.75x = 222,494,640,018.89
  5. Step 5: Solve for x
    x = 222,494,640,018.89/238,929.75
  6. Step 6: Final answer
    x = 931,213.63

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.