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Finding the Third Proportional to 206,968 and 446,584

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Solution

The third proportional to 206,968 and 446,584 is: 963,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968 : 446,584 = 446,584 : x
  2. Step 2: Convert to fraction form
    206,968/446,584 = 446,584/x
  3. Step 3: Cross multiply
    206,968x = 446,584 × 446,584
  4. Step 4: Simplify right side
    206,968x = 199,437,269,056
  5. Step 5: Solve for x
    x = 199,437,269,056/206,968
  6. Step 6: Final answer
    x = 963,614.03

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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.