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Finding the Third Proportional to 392,720 and 848,176

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Solution

The third proportional to 392,720 and 848,176 is: 1,831,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,720 : 848,176 = 848,176 : x
  2. Step 2: Convert to fraction form
    392,720/848,176 = 848,176/x
  3. Step 3: Cross multiply
    392,720x = 848,176 × 848,176
  4. Step 4: Simplify right side
    392,720x = 719,402,526,976
  5. Step 5: Solve for x
    x = 719,402,526,976/392,720
  6. Step 6: Final answer
    x = 1,831,845.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.