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Finding the Third Proportional to 384,782 and 848,350

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Solution

The third proportional to 384,782 and 848,350 is: 1,870,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,782 : 848,350 = 848,350 : x
  2. Step 2: Convert to fraction form
    384,782/848,350 = 848,350/x
  3. Step 3: Cross multiply
    384,782x = 848,350 × 848,350
  4. Step 4: Simplify right side
    384,782x = 719,697,722,500
  5. Step 5: Solve for x
    x = 719,697,722,500/384,782
  6. Step 6: Final answer
    x = 1,870,403.82

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Why These Related Problems?

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