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Finding the Third Proportional to 206,709 and 446,466

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Solution

The third proportional to 206,709 and 446,466 is: 964,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,709 : 446,466 = 446,466 : x
  2. Step 2: Convert to fraction form
    206,709/446,466 = 446,466/x
  3. Step 3: Cross multiply
    206,709x = 446,466 × 446,466
  4. Step 4: Simplify right side
    206,709x = 199,331,889,156
  5. Step 5: Solve for x
    x = 199,331,889,156/206,709
  6. Step 6: Final answer
    x = 964,311.61

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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.