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Finding the Third Proportional to 206,958 and 446,564

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Solution

The third proportional to 206,958 and 446,564 is: 963,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958 : 446,564 = 446,564 : x
  2. Step 2: Convert to fraction form
    206,958/446,564 = 446,564/x
  3. Step 3: Cross multiply
    206,958x = 446,564 × 446,564
  4. Step 4: Simplify right side
    206,958x = 199,419,406,096
  5. Step 5: Solve for x
    x = 199,419,406,096/206,958
  6. Step 6: Final answer
    x = 963,574.28

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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.