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Finding the Third Proportional to 392,724 and 848,184

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Solution

The third proportional to 392,724 and 848,184 is: 1,831,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,724 : 848,184 = 848,184 : x
  2. Step 2: Convert to fraction form
    392,724/848,184 = 848,184/x
  3. Step 3: Cross multiply
    392,724x = 848,184 × 848,184
  4. Step 4: Simplify right side
    392,724x = 719,416,097,856
  5. Step 5: Solve for x
    x = 719,416,097,856/392,724
  6. Step 6: Final answer
    x = 1,831,861.81

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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.