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Finding the Third Proportional to 412,992 and 848,218.50

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Solution

The third proportional to 412,992 and 848,218.50 is: 1,742,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992 : 848,218.50 = 848,218.50 : x
  2. Step 2: Convert to fraction form
    412,992/848,218.50 = 848,218.50/x
  3. Step 3: Cross multiply
    412,992x = 848,218.50 × 848,218.50
  4. Step 4: Simplify right side
    412,992x = 719,474,623,742.25
  5. Step 5: Solve for x
    x = 719,474,623,742.25/412,992
  6. Step 6: Final answer
    x = 1,742,103.05

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Why These Related Problems?

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