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Finding the Third Proportional to 367,108 and 753,978

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Solution

The third proportional to 367,108 and 753,978 is: 1,548,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,108 : 753,978 = 753,978 : x
  2. Step 2: Convert to fraction form
    367,108/753,978 = 753,978/x
  3. Step 3: Cross multiply
    367,108x = 753,978 × 753,978
  4. Step 4: Simplify right side
    367,108x = 568,482,824,484
  5. Step 5: Solve for x
    x = 568,482,824,484/367,108
  6. Step 6: Final answer
    x = 1,548,543.82

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