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Finding the Third Proportional to 367,124 and 754,012

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Solution

The third proportional to 367,124 and 754,012 is: 1,548,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,124 : 754,012 = 754,012 : x
  2. Step 2: Convert to fraction form
    367,124/754,012 = 754,012/x
  3. Step 3: Cross multiply
    367,124x = 754,012 × 754,012
  4. Step 4: Simplify right side
    367,124x = 568,534,096,144
  5. Step 5: Solve for x
    x = 568,534,096,144/367,124
  6. Step 6: Final answer
    x = 1,548,615.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.