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Finding the Third Proportional to 551,099.25 and 843,012

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Solution

The third proportional to 551,099.25 and 843,012 is: 1,289,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,099.25 : 843,012 = 843,012 : x
  2. Step 2: Convert to fraction form
    551,099.25/843,012 = 843,012/x
  3. Step 3: Cross multiply
    551,099.25x = 843,012 × 843,012
  4. Step 4: Simplify right side
    551,099.25x = 710,669,232,144
  5. Step 5: Solve for x
    x = 710,669,232,144/551,099.25
  6. Step 6: Final answer
    x = 1,289,548.54

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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.