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Finding the Third Proportional to 384,771 and 848,377.50

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Solution

The third proportional to 384,771 and 848,377.50 is: 1,870,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,771 : 848,377.50 = 848,377.50 : x
  2. Step 2: Convert to fraction form
    384,771/848,377.50 = 848,377.50/x
  3. Step 3: Cross multiply
    384,771x = 848,377.50 × 848,377.50
  4. Step 4: Simplify right side
    384,771x = 719,744,382,506.25
  5. Step 5: Solve for x
    x = 719,744,382,506.25/384,771
  6. Step 6: Final answer
    x = 1,870,578.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.