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Finding the Third Proportional to 206,739 and 455,382

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Solution

The third proportional to 206,739 and 455,382 is: 1,003,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,739 : 455,382 = 455,382 : x
  2. Step 2: Convert to fraction form
    206,739/455,382 = 455,382/x
  3. Step 3: Cross multiply
    206,739x = 455,382 × 455,382
  4. Step 4: Simplify right side
    206,739x = 207,372,765,924
  5. Step 5: Solve for x
    x = 207,372,765,924/206,739
  6. Step 6: Final answer
    x = 1,003,065.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.