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Finding the Third Proportional to 206,487 and 446,022

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Solution

The third proportional to 206,487 and 446,022 is: 963,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,487 : 446,022 = 446,022 : x
  2. Step 2: Convert to fraction form
    206,487/446,022 = 446,022/x
  3. Step 3: Cross multiply
    206,487x = 446,022 × 446,022
  4. Step 4: Simplify right side
    206,487x = 198,935,624,484
  5. Step 5: Solve for x
    x = 198,935,624,484/206,487
  6. Step 6: Final answer
    x = 963,429.29

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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.