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Finding the Third Proportional to 347,172 and 541,057.50

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Solution

The third proportional to 347,172 and 541,057.50 is: 843,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,172 : 541,057.50 = 541,057.50 : x
  2. Step 2: Convert to fraction form
    347,172/541,057.50 = 541,057.50/x
  3. Step 3: Cross multiply
    347,172x = 541,057.50 × 541,057.50
  4. Step 4: Simplify right side
    347,172x = 292,743,218,306.25
  5. Step 5: Solve for x
    x = 292,743,218,306.25/347,172
  6. Step 6: Final answer
    x = 843,222.43

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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.