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Finding the Third Proportional to 373,842 and 800,839.50

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Solution

The third proportional to 373,842 and 800,839.50 is: 1,715,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,842 : 800,839.50 = 800,839.50 : x
  2. Step 2: Convert to fraction form
    373,842/800,839.50 = 800,839.50/x
  3. Step 3: Cross multiply
    373,842x = 800,839.50 × 800,839.50
  4. Step 4: Simplify right side
    373,842x = 641,343,904,760.25
  5. Step 5: Solve for x
    x = 641,343,904,760.25/373,842
  6. Step 6: Final answer
    x = 1,715,548.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.