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Finding the Third Proportional to 397,295 and 862,317

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Solution

The third proportional to 397,295 and 862,317 is: 1,871,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,295 : 862,317 = 862,317 : x
  2. Step 2: Convert to fraction form
    397,295/862,317 = 862,317/x
  3. Step 3: Cross multiply
    397,295x = 862,317 × 862,317
  4. Step 4: Simplify right side
    397,295x = 743,590,608,489
  5. Step 5: Solve for x
    x = 743,590,608,489/397,295
  6. Step 6: Final answer
    x = 1,871,633.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.