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Finding the Third Proportional to 551,400.75 and 843,321.38

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Solution

The third proportional to 551,400.75 and 843,321.38 is: 1,289,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,400.75 : 843,321.38 = 843,321.38 : x
  2. Step 2: Convert to fraction form
    551,400.75/843,321.38 = 843,321.38/x
  3. Step 3: Cross multiply
    551,400.75x = 843,321.38 × 843,321.38
  4. Step 4: Simplify right side
    551,400.75x = 711,190,941,531.89
  5. Step 5: Solve for x
    x = 711,190,941,531.89/551,400.75
  6. Step 6: Final answer
    x = 1,289,789.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.