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Finding the Third Proportional to 206,584 and 437,768

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Solution

The third proportional to 206,584 and 437,768 is: 927,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584 : 437,768 = 437,768 : x
  2. Step 2: Convert to fraction form
    206,584/437,768 = 437,768/x
  3. Step 3: Cross multiply
    206,584x = 437,768 × 437,768
  4. Step 4: Simplify right side
    206,584x = 191,640,821,824
  5. Step 5: Solve for x
    x = 191,640,821,824/206,584
  6. Step 6: Final answer
    x = 927,665.37

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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.