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Finding the Third Proportional to 213,327 and 457,016

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Solution

The third proportional to 213,327 and 457,016 is: 979,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,327 : 457,016 = 457,016 : x
  2. Step 2: Convert to fraction form
    213,327/457,016 = 457,016/x
  3. Step 3: Cross multiply
    213,327x = 457,016 × 457,016
  4. Step 4: Simplify right side
    213,327x = 208,863,624,256
  5. Step 5: Solve for x
    x = 208,863,624,256/213,327
  6. Step 6: Final answer
    x = 979,077.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.