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Finding the Third Proportional to 395,566 and 848,338

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Solution

The third proportional to 395,566 and 848,338 is: 1,819,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,566 : 848,338 = 848,338 : x
  2. Step 2: Convert to fraction form
    395,566/848,338 = 848,338/x
  3. Step 3: Cross multiply
    395,566x = 848,338 × 848,338
  4. Step 4: Simplify right side
    395,566x = 719,677,362,244
  5. Step 5: Solve for x
    x = 719,677,362,244/395,566
  6. Step 6: Final answer
    x = 1,819,361.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.