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Finding the Third Proportional to 238,869 and 563,091.75

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Solution

The third proportional to 238,869 and 563,091.75 is: 1,327,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,869 : 563,091.75 = 563,091.75 : x
  2. Step 2: Convert to fraction form
    238,869/563,091.75 = 563,091.75/x
  3. Step 3: Cross multiply
    238,869x = 563,091.75 × 563,091.75
  4. Step 4: Simplify right side
    238,869x = 317,072,318,918.06
  5. Step 5: Solve for x
    x = 317,072,318,918.06/238,869
  6. Step 6: Final answer
    x = 1,327,389.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.