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Finding the Third Proportional to 206,464 and 446,720

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Solution

The third proportional to 206,464 and 446,720 is: 966,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,464 : 446,720 = 446,720 : x
  2. Step 2: Convert to fraction form
    206,464/446,720 = 446,720/x
  3. Step 3: Cross multiply
    206,464x = 446,720 × 446,720
  4. Step 4: Simplify right side
    206,464x = 199,558,758,400
  5. Step 5: Solve for x
    x = 199,558,758,400/206,464
  6. Step 6: Final answer
    x = 966,554.74

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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.