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Finding the Third Proportional to 387,996.75 and 848,157.75

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Solution

The third proportional to 387,996.75 and 848,157.75 is: 1,854,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,996.75 : 848,157.75 = 848,157.75 : x
  2. Step 2: Convert to fraction form
    387,996.75/848,157.75 = 848,157.75/x
  3. Step 3: Cross multiply
    387,996.75x = 848,157.75 × 848,157.75
  4. Step 4: Simplify right side
    387,996.75x = 719,371,568,885.06
  5. Step 5: Solve for x
    x = 719,371,568,885.06/387,996.75
  6. Step 6: Final answer
    x = 1,854,065.97

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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.