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Finding the Third Proportional to 213,967 and 451,810

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Solution

The third proportional to 213,967 and 451,810 is: 954,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967 : 451,810 = 451,810 : x
  2. Step 2: Convert to fraction form
    213,967/451,810 = 451,810/x
  3. Step 3: Cross multiply
    213,967x = 451,810 × 451,810
  4. Step 4: Simplify right side
    213,967x = 204,132,276,100
  5. Step 5: Solve for x
    x = 204,132,276,100/213,967
  6. Step 6: Final answer
    x = 954,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.