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Finding the Third Proportional to 396,095 and 848,283

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Solution

The third proportional to 396,095 and 848,283 is: 1,816,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,095 : 848,283 = 848,283 : x
  2. Step 2: Convert to fraction form
    396,095/848,283 = 848,283/x
  3. Step 3: Cross multiply
    396,095x = 848,283 × 848,283
  4. Step 4: Simplify right side
    396,095x = 719,584,048,089
  5. Step 5: Solve for x
    x = 719,584,048,089/396,095
  6. Step 6: Final answer
    x = 1,816,695.61

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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.