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Finding the Third Proportional to 345,997.88 and 748,857.75

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Solution

The third proportional to 345,997.88 and 748,857.75 is: 1,620,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,997.88 : 748,857.75 = 748,857.75 : x
  2. Step 2: Convert to fraction form
    345,997.88/748,857.75 = 748,857.75/x
  3. Step 3: Cross multiply
    345,997.88x = 748,857.75 × 748,857.75
  4. Step 4: Simplify right side
    345,997.88x = 560,787,929,735.06
  5. Step 5: Solve for x
    x = 560,787,929,735.06/345,997.88
  6. Step 6: Final answer
    x = 1,620,784.32

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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.