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Finding the Third Proportional to 209,936 and 452,128

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Solution

The third proportional to 209,936 and 452,128 is: 973,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,936 : 452,128 = 452,128 : x
  2. Step 2: Convert to fraction form
    209,936/452,128 = 452,128/x
  3. Step 3: Cross multiply
    209,936x = 452,128 × 452,128
  4. Step 4: Simplify right side
    209,936x = 204,419,728,384
  5. Step 5: Solve for x
    x = 204,419,728,384/209,936
  6. Step 6: Final answer
    x = 973,724.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.