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Finding the Third Proportional to 209,380 and 460,232

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Solution

The third proportional to 209,380 and 460,232 is: 1,011,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,380 : 460,232 = 460,232 : x
  2. Step 2: Convert to fraction form
    209,380/460,232 = 460,232/x
  3. Step 3: Cross multiply
    209,380x = 460,232 × 460,232
  4. Step 4: Simplify right side
    209,380x = 211,813,493,824
  5. Step 5: Solve for x
    x = 211,813,493,824/209,380
  6. Step 6: Final answer
    x = 1,011,622.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.