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Finding the Third Proportional to 238,696 and 514,757

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Solution

The third proportional to 238,696 and 514,757 is: 1,110,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,696 : 514,757 = 514,757 : x
  2. Step 2: Convert to fraction form
    238,696/514,757 = 514,757/x
  3. Step 3: Cross multiply
    238,696x = 514,757 × 514,757
  4. Step 4: Simplify right side
    238,696x = 264,974,769,049
  5. Step 5: Solve for x
    x = 264,974,769,049/238,696
  6. Step 6: Final answer
    x = 1,110,093.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.