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Finding the Third Proportional to 344,829.50 and 751,735

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Solution

The third proportional to 344,829.50 and 751,735 is: 1,638,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,829.50 : 751,735 = 751,735 : x
  2. Step 2: Convert to fraction form
    344,829.50/751,735 = 751,735/x
  3. Step 3: Cross multiply
    344,829.50x = 751,735 × 751,735
  4. Step 4: Simplify right side
    344,829.50x = 565,105,510,225
  5. Step 5: Solve for x
    x = 565,105,510,225/344,829.50
  6. Step 6: Final answer
    x = 1,638,796.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.