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Finding the Third Proportional to 392,268 and 846,744

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Solution

The third proportional to 392,268 and 846,744 is: 1,827,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,268 : 846,744 = 846,744 : x
  2. Step 2: Convert to fraction form
    392,268/846,744 = 846,744/x
  3. Step 3: Cross multiply
    392,268x = 846,744 × 846,744
  4. Step 4: Simplify right side
    392,268x = 716,975,401,536
  5. Step 5: Solve for x
    x = 716,975,401,536/392,268
  6. Step 6: Final answer
    x = 1,827,769.28

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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.