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Finding the Third Proportional to 347,185.50 and 541,076.25

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Solution

The third proportional to 347,185.50 and 541,076.25 is: 843,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,185.50 : 541,076.25 = 541,076.25 : x
  2. Step 2: Convert to fraction form
    347,185.50/541,076.25 = 541,076.25/x
  3. Step 3: Cross multiply
    347,185.50x = 541,076.25 × 541,076.25
  4. Step 4: Simplify right side
    347,185.50x = 292,763,508,314.06
  5. Step 5: Solve for x
    x = 292,763,508,314.06/347,185.50
  6. Step 6: Final answer
    x = 843,248.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.