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Finding the Third Proportional to 392,267 and 846,742

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Solution

The third proportional to 392,267 and 846,742 is: 1,827,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,267 : 846,742 = 846,742 : x
  2. Step 2: Convert to fraction form
    392,267/846,742 = 846,742/x
  3. Step 3: Cross multiply
    392,267x = 846,742 × 846,742
  4. Step 4: Simplify right side
    392,267x = 716,972,014,564
  5. Step 5: Solve for x
    x = 716,972,014,564/392,267
  6. Step 6: Final answer
    x = 1,827,765.31

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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.