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Finding the Third Proportional to 392,968 and 848,720

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Solution

The third proportional to 392,968 and 848,720 is: 1,833,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,968 : 848,720 = 848,720 : x
  2. Step 2: Convert to fraction form
    392,968/848,720 = 848,720/x
  3. Step 3: Cross multiply
    392,968x = 848,720 × 848,720
  4. Step 4: Simplify right side
    392,968x = 720,325,638,400
  5. Step 5: Solve for x
    x = 720,325,638,400/392,968
  6. Step 6: Final answer
    x = 1,833,038.92

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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.