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Finding the Third Proportional to 413,016 and 848,265

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Solution

The third proportional to 413,016 and 848,265 is: 1,742,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,016 : 848,265 = 848,265 : x
  2. Step 2: Convert to fraction form
    413,016/848,265 = 848,265/x
  3. Step 3: Cross multiply
    413,016x = 848,265 × 848,265
  4. Step 4: Simplify right side
    413,016x = 719,553,510,225
  5. Step 5: Solve for x
    x = 719,553,510,225/413,016
  6. Step 6: Final answer
    x = 1,742,192.82

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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.