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Finding the Third Proportional to 185,920 and 407,324

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Solution

The third proportional to 185,920 and 407,324 is: 892,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920 : 407,324 = 407,324 : x
  2. Step 2: Convert to fraction form
    185,920/407,324 = 407,324/x
  3. Step 3: Cross multiply
    185,920x = 407,324 × 407,324
  4. Step 4: Simplify right side
    185,920x = 165,912,840,976
  5. Step 5: Solve for x
    x = 165,912,840,976/185,920
  6. Step 6: Final answer
    x = 892,388.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.