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Finding the Third Proportional to 413,032 and 848,293

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Solution

The third proportional to 413,032 and 848,293 is: 1,742,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,032 : 848,293 = 848,293 : x
  2. Step 2: Convert to fraction form
    413,032/848,293 = 848,293/x
  3. Step 3: Cross multiply
    413,032x = 848,293 × 848,293
  4. Step 4: Simplify right side
    413,032x = 719,601,013,849
  5. Step 5: Solve for x
    x = 719,601,013,849/413,032
  6. Step 6: Final answer
    x = 1,742,240.34

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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.