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Finding the Third Proportional to 206,877 and 446,412

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Solution

The third proportional to 206,877 and 446,412 is: 963,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877 : 446,412 = 446,412 : x
  2. Step 2: Convert to fraction form
    206,877/446,412 = 446,412/x
  3. Step 3: Cross multiply
    206,877x = 446,412 × 446,412
  4. Step 4: Simplify right side
    206,877x = 199,283,673,744
  5. Step 5: Solve for x
    x = 199,283,673,744/206,877
  6. Step 6: Final answer
    x = 963,295.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.