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Finding the Third Proportional to 395,791.50 and 771,900

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Solution

The third proportional to 395,791.50 and 771,900 is: 1,505,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,791.50 : 771,900 = 771,900 : x
  2. Step 2: Convert to fraction form
    395,791.50/771,900 = 771,900/x
  3. Step 3: Cross multiply
    395,791.50x = 771,900 × 771,900
  4. Step 4: Simplify right side
    395,791.50x = 595,829,610,000
  5. Step 5: Solve for x
    x = 595,829,610,000/395,791.50
  6. Step 6: Final answer
    x = 1,505,412.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.