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Finding the Third Proportional to 347,172.75 and 541,059.75

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Solution

The third proportional to 347,172.75 and 541,059.75 is: 843,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,172.75 : 541,059.75 = 541,059.75 : x
  2. Step 2: Convert to fraction form
    347,172.75/541,059.75 = 541,059.75/x
  3. Step 3: Cross multiply
    347,172.75x = 541,059.75 × 541,059.75
  4. Step 4: Simplify right side
    347,172.75x = 292,745,653,070.06
  5. Step 5: Solve for x
    x = 292,745,653,070.06/347,172.75
  6. Step 6: Final answer
    x = 843,227.62

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Why These Related Problems?

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