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Finding the Third Proportional to 392,265 and 846,738

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Solution

The third proportional to 392,265 and 846,738 is: 1,827,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,265 : 846,738 = 846,738 : x
  2. Step 2: Convert to fraction form
    392,265/846,738 = 846,738/x
  3. Step 3: Cross multiply
    392,265x = 846,738 × 846,738
  4. Step 4: Simplify right side
    392,265x = 716,965,240,644
  5. Step 5: Solve for x
    x = 716,965,240,644/392,265
  6. Step 6: Final answer
    x = 1,827,757.36

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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.