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Finding the Third Proportional to 213,336 and 452,912

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Solution

The third proportional to 213,336 and 452,912 is: 961,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,336 : 452,912 = 452,912 : x
  2. Step 2: Convert to fraction form
    213,336/452,912 = 452,912/x
  3. Step 3: Cross multiply
    213,336x = 452,912 × 452,912
  4. Step 4: Simplify right side
    213,336x = 205,129,279,744
  5. Step 5: Solve for x
    x = 205,129,279,744/213,336
  6. Step 6: Final answer
    x = 961,531.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.