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Finding the Third Proportional to 412,979.63 and 848,197.13

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Solution

The third proportional to 412,979.63 and 848,197.13 is: 1,742,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,979.63 : 848,197.13 = 848,197.13 : x
  2. Step 2: Convert to fraction form
    412,979.63/848,197.13 = 848,197.13/x
  3. Step 3: Cross multiply
    412,979.63x = 848,197.13 × 848,197.13
  4. Step 4: Simplify right side
    412,979.63x = 719,438,362,858.27
  5. Step 5: Solve for x
    x = 719,438,362,858.27/412,979.63
  6. Step 6: Final answer
    x = 1,742,067.45

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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.