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Finding the Third Proportional to 213,786 and 461,832

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Solution

The third proportional to 213,786 and 461,832 is: 997,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,786 : 461,832 = 461,832 : x
  2. Step 2: Convert to fraction form
    213,786/461,832 = 461,832/x
  3. Step 3: Cross multiply
    213,786x = 461,832 × 461,832
  4. Step 4: Simplify right side
    213,786x = 213,288,796,224
  5. Step 5: Solve for x
    x = 213,288,796,224/213,786
  6. Step 6: Final answer
    x = 997,674.29

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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.