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Finding the Third Proportional to 345,892.50 and 441,969.75

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Solution

The third proportional to 345,892.50 and 441,969.75 is: 564,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,892.50 : 441,969.75 = 441,969.75 : x
  2. Step 2: Convert to fraction form
    345,892.50/441,969.75 = 441,969.75/x
  3. Step 3: Cross multiply
    345,892.50x = 441,969.75 × 441,969.75
  4. Step 4: Simplify right side
    345,892.50x = 195,337,259,915.06
  5. Step 5: Solve for x
    x = 195,337,259,915.06/345,892.50
  6. Step 6: Final answer
    x = 564,734.01

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.