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Finding the Third Proportional to 206,306 and 446,284

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Solution

The third proportional to 206,306 and 446,284 is: 965,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,306 : 446,284 = 446,284 : x
  2. Step 2: Convert to fraction form
    206,306/446,284 = 446,284/x
  3. Step 3: Cross multiply
    206,306x = 446,284 × 446,284
  4. Step 4: Simplify right side
    206,306x = 199,169,408,656
  5. Step 5: Solve for x
    x = 199,169,408,656/206,306
  6. Step 6: Final answer
    x = 965,407.74

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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.