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Finding the Third Proportional to 206,010 and 451,386

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Solution

The third proportional to 206,010 and 451,386 is: 989,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,010 : 451,386 = 451,386 : x
  2. Step 2: Convert to fraction form
    206,010/451,386 = 451,386/x
  3. Step 3: Cross multiply
    206,010x = 451,386 × 451,386
  4. Step 4: Simplify right side
    206,010x = 203,749,320,996
  5. Step 5: Solve for x
    x = 203,749,320,996/206,010
  6. Step 6: Final answer
    x = 989,026.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.