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Finding the Third Proportional to 392,715 and 848,088

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Solution

The third proportional to 392,715 and 848,088 is: 1,831,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,715 : 848,088 = 848,088 : x
  2. Step 2: Convert to fraction form
    392,715/848,088 = 848,088/x
  3. Step 3: Cross multiply
    392,715x = 848,088 × 848,088
  4. Step 4: Simplify right side
    392,715x = 719,253,255,744
  5. Step 5: Solve for x
    x = 719,253,255,744/392,715
  6. Step 6: Final answer
    x = 1,831,489.14

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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.