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Finding the Third Proportional to 392,880.38 and 848,363.63

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Solution

The third proportional to 392,880.38 and 848,363.63 is: 1,831,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,880.38 : 848,363.63 = 848,363.63 : x
  2. Step 2: Convert to fraction form
    392,880.38/848,363.63 = 848,363.63/x
  3. Step 3: Cross multiply
    392,880.38x = 848,363.63 × 848,363.63
  4. Step 4: Simplify right side
    392,880.38x = 719,720,840,223.14
  5. Step 5: Solve for x
    x = 719,720,840,223.14/392,880.38
  6. Step 6: Final answer
    x = 1,831,908.35

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