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Finding the Third Proportional to 363,440 and 848,930

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Solution

The third proportional to 363,440 and 848,930 is: 1,982,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,440 : 848,930 = 848,930 : x
  2. Step 2: Convert to fraction form
    363,440/848,930 = 848,930/x
  3. Step 3: Cross multiply
    363,440x = 848,930 × 848,930
  4. Step 4: Simplify right side
    363,440x = 720,682,144,900
  5. Step 5: Solve for x
    x = 720,682,144,900/363,440
  6. Step 6: Final answer
    x = 1,982,946.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.