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Finding the Third Proportional to 386,980 and 848,317

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Solution

The third proportional to 386,980 and 848,317 is: 1,859,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,980 : 848,317 = 848,317 : x
  2. Step 2: Convert to fraction form
    386,980/848,317 = 848,317/x
  3. Step 3: Cross multiply
    386,980x = 848,317 × 848,317
  4. Step 4: Simplify right side
    386,980x = 719,641,732,489
  5. Step 5: Solve for x
    x = 719,641,732,489/386,980
  6. Step 6: Final answer
    x = 1,859,635.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.